What is the Greatest Common Factor of 58642 and 58660?

Greatest common factor (GCF) of 58642 and 58660 is 2.

GCF(58642,58660) = 2

We will now calculate the prime factors of 58642 and 58660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58642 and 58660.

How to find the GCF of 58642 and 58660?

We will first find the prime factorization of 58642 and 58660. After we will calculate the factors of 58642 and 58660 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58660

Prime factors of 58660 are 2, 5, 7, 419. Prime factorization of 58660 in exponential form is:

58660 = 2² × 5¹ × 7¹ × 419¹

Step-3: Factors of 58642

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

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

Step-4: Factors of 58660

List of positive integer factors of 58660 that divides 58642 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 419, 838, 1676, 2095, 2933, 4190, 5866, 8380, 11732, 14665, 29330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58642 and 58660. The biggest common factor number is the GCF number.
So the greatest common factor 58642 and 58660 is 2.

Also check out the Least Common Multiple of 58642 and 58660