What is the Greatest Common Factor of 57602 and 57620?

Greatest common factor (GCF) of 57602 and 57620 is 2.

GCF(57602,57620) = 2

We will now calculate the prime factors of 57602 and 57620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57602 and 57620.

How to find the GCF of 57602 and 57620?

We will first find the prime factorization of 57602 and 57620. After we will calculate the factors of 57602 and 57620 and find the biggest common factor number .

Step-1: Prime Factorization of 57602

Prime factors of 57602 are 2, 83, 347. Prime factorization of 57602 in exponential form is:

57602 = 2¹ × 83¹ × 347¹

Step-2: Prime Factorization of 57620

Prime factors of 57620 are 2, 5, 43, 67. Prime factorization of 57620 in exponential form is:

57620 = 2² × 5¹ × 43¹ × 67¹

Step-3: Factors of 57602

List of positive integer factors of 57602 that divides 57602 without a remainder.

1, 2, 83, 166, 347, 694, 28801

Step-4: Factors of 57620

List of positive integer factors of 57620 that divides 57602 without a remainder.

1, 2, 4, 5, 10, 20, 43, 67, 86, 134, 172, 215, 268, 335, 430, 670, 860, 1340, 2881, 5762, 11524, 14405, 28810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57602 and 57620. The biggest common factor number is the GCF number.
So the greatest common factor 57602 and 57620 is 2.

Also check out the Least Common Multiple of 57602 and 57620