What is the Greatest Common Factor of 58695 and 58702?

Greatest common factor (GCF) of 58695 and 58702 is 7.

GCF(58695,58702) = 7

We will now calculate the prime factors of 58695 and 58702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58695 and 58702.

How to find the GCF of 58695 and 58702?

We will first find the prime factorization of 58695 and 58702. After we will calculate the factors of 58695 and 58702 and find the biggest common factor number .

Step-1: Prime Factorization of 58695

Prime factors of 58695 are 3, 5, 7, 13, 43. Prime factorization of 58695 in exponential form is:

58695 = 3¹ × 5¹ × 7¹ × 13¹ × 43¹

Step-2: 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-3: Factors of 58695

List of positive integer factors of 58695 that divides 58695 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 43, 65, 91, 105, 129, 195, 215, 273, 301, 455, 559, 645, 903, 1365, 1505, 1677, 2795, 3913, 4515, 8385, 11739, 19565

Step-4: Factors of 58702

List of positive integer factors of 58702 that divides 58695 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58695 and 58702. The biggest common factor number is the GCF number.
So the greatest common factor 58695 and 58702 is 7.

Also check out the Least Common Multiple of 58695 and 58702