What is the Greatest Common Factor of 59710 and 59715?

Greatest common factor (GCF) of 59710 and 59715 is 5.

GCF(59710,59715) = 5

We will now calculate the prime factors of 59710 and 59715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59710 and 59715.

How to find the GCF of 59710 and 59715?

We will first find the prime factorization of 59710 and 59715. After we will calculate the factors of 59710 and 59715 and find the biggest common factor number .

Step-1: Prime Factorization of 59710

Prime factors of 59710 are 2, 5, 7, 853. Prime factorization of 59710 in exponential form is:

59710 = 2¹ × 5¹ × 7¹ × 853¹

Step-2: Prime Factorization of 59715

Prime factors of 59715 are 3, 5, 1327. Prime factorization of 59715 in exponential form is:

59715 = 3² × 5¹ × 1327¹

Step-3: Factors of 59710

List of positive integer factors of 59710 that divides 59710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 853, 1706, 4265, 5971, 8530, 11942, 29855

Step-4: Factors of 59715

List of positive integer factors of 59715 that divides 59710 without a remainder.

1, 3, 5, 9, 15, 45, 1327, 3981, 6635, 11943, 19905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59710 and 59715. The biggest common factor number is the GCF number.
So the greatest common factor 59710 and 59715 is 5.

Also check out the Least Common Multiple of 59710 and 59715