What is the Greatest Common Factor of 59702 and 59708?

Greatest common factor (GCF) of 59702 and 59708 is 2.

GCF(59702,59708) = 2

We will now calculate the prime factors of 59702 and 59708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59702 and 59708.

How to find the GCF of 59702 and 59708?

We will first find the prime factorization of 59702 and 59708. After we will calculate the factors of 59702 and 59708 and find the biggest common factor number .

Step-1: Prime Factorization of 59702

Prime factors of 59702 are 2, 29851. Prime factorization of 59702 in exponential form is:

59702 = 2¹ × 29851¹

Step-2: Prime Factorization of 59708

Prime factors of 59708 are 2, 11, 23, 59. Prime factorization of 59708 in exponential form is:

59708 = 2² × 11¹ × 23¹ × 59¹

Step-3: Factors of 59702

List of positive integer factors of 59702 that divides 59702 without a remainder.

1, 2, 29851

Step-4: Factors of 59708

List of positive integer factors of 59708 that divides 59702 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 59, 92, 118, 236, 253, 506, 649, 1012, 1298, 1357, 2596, 2714, 5428, 14927, 29854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59702 and 59708. The biggest common factor number is the GCF number.
So the greatest common factor 59702 and 59708 is 2.

Also check out the Least Common Multiple of 59702 and 59708