Here are the step-by-step solutions to find the Greatest Common Factor (GCF) for each pair of numbers.
a) 30 and 10
1.
List factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
2.
List factors of 10: 1, 2, 5, 10
3.
Find common factors: 1, 2, 5, 10
4.
Identify the greatest one: 10
b) 78 and 26
1.
List factors of 78: 1, 2, 3, 6, 13, 26, 39, 78
2.
List factors of 26: 1, 2, 13, 26
3.
Find common factors: 1, 2, 13, 26
4.
Identify the greatest one: 26
c) 60 and 68
1.
List factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
2.
List factors of 68: 1, 2, 4, 17, 34, 68
3.
Find common factors: 1, 2, 4
4.
Identify the greatest one: 4
d) 70 and 20
1.
List factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
2.
List factors of 20: 1, 2, 4, 5, 10, 20
3.
Find common factors: 1, 2, 5, 10
4.
Identify the greatest one: 10
e) 40 and 24
1.
List factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
2.
List factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
3.
Find common factors: 1, 2, 4, 8
4.
Identify the greatest one: 8
Final Answer:
a) GCF = 10
b) GCF = 26
c) GCF = 4
d) GCF = 10
e) GCF = 8
Parent Tip: Review the logic above to help your child master the concept of hcf worksheet.
