What is the Greatest Common Factor of 58638 and 58642?

Greatest common factor (GCF) of 58638 and 58642 is 2.

GCF(58638,58642) = 2

We will now calculate the prime factors of 58638 and 58642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58638 and 58642.

How to find the GCF of 58638 and 58642?

We will first find the prime factorization of 58638 and 58642. After we will calculate the factors of 58638 and 58642 and find the biggest common factor number .

Step-1: Prime Factorization of 58638

Prime factors of 58638 are 2, 3, 29, 337. Prime factorization of 58638 in exponential form is:

58638 = 2¹ × 3¹ × 29¹ × 337¹

Step-2: Prime Factorization of 58642

Prime factors of 58642 are 2, 109, 269. Prime factorization of 58642 in exponential form is:

58642 = 2¹ × 109¹ × 269¹

Step-3: Factors of 58638

List of positive integer factors of 58638 that divides 58638 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 337, 674, 1011, 2022, 9773, 19546, 29319

Step-4: Factors of 58642

List of positive integer factors of 58642 that divides 58638 without a remainder.

1, 2, 109, 218, 269, 538, 29321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58638 and 58642. The biggest common factor number is the GCF number.
So the greatest common factor 58638 and 58642 is 2.

Also check out the Least Common Multiple of 58638 and 58642