What is the Greatest Common Factor of 58702 and 58708?

Greatest common factor (GCF) of 58702 and 58708 is 2.

GCF(58702,58708) = 2

We will now calculate the prime factors of 58702 and 58708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58702 and 58708.

How to find the GCF of 58702 and 58708?

We will first find the prime factorization of 58702 and 58708. After we will calculate the factors of 58702 and 58708 and find the biggest common factor number .

Step-1: Prime Factorization of 58702

Prime factors of 58702 are 2, 7, 599. Prime factorization of 58702 in exponential form is:

58702 = 2¹ × 7² × 599¹

Step-2: Prime Factorization of 58708

Prime factors of 58708 are 2, 13, 1129. Prime factorization of 58708 in exponential form is:

58708 = 2² × 13¹ × 1129¹

Step-3: Factors of 58702

List of positive integer factors of 58702 that divides 58702 without a remainder.

1, 2, 7, 14, 49, 98, 599, 1198, 4193, 8386, 29351

Step-4: Factors of 58708

List of positive integer factors of 58708 that divides 58702 without a remainder.

1, 2, 4, 13, 26, 52, 1129, 2258, 4516, 14677, 29354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58702 and 58708. The biggest common factor number is the GCF number.
So the greatest common factor 58702 and 58708 is 2.

Also check out the Least Common Multiple of 58702 and 58708