What is the Greatest Common Factor of 60628 and 60632?

Greatest common factor (GCF) of 60628 and 60632 is 4.

GCF(60628,60632) = 4

We will now calculate the prime factors of 60628 and 60632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60628 and 60632.

How to find the GCF of 60628 and 60632?

We will first find the prime factorization of 60628 and 60632. After we will calculate the factors of 60628 and 60632 and find the biggest common factor number .

Step-1: Prime Factorization of 60628

Prime factors of 60628 are 2, 23, 659. Prime factorization of 60628 in exponential form is:

60628 = 2² × 23¹ × 659¹

Step-2: Prime Factorization of 60632

Prime factors of 60632 are 2, 11, 13, 53. Prime factorization of 60632 in exponential form is:

60632 = 2³ × 11¹ × 13¹ × 53¹

Step-3: Factors of 60628

List of positive integer factors of 60628 that divides 60628 without a remainder.

1, 2, 4, 23, 46, 92, 659, 1318, 2636, 15157, 30314

Step-4: Factors of 60632

List of positive integer factors of 60632 that divides 60628 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 53, 88, 104, 106, 143, 212, 286, 424, 572, 583, 689, 1144, 1166, 1378, 2332, 2756, 4664, 5512, 7579, 15158, 30316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60628 and 60632. The biggest common factor number is the GCF number.
So the greatest common factor 60628 and 60632 is 4.

Also check out the Least Common Multiple of 60628 and 60632