What is the Greatest Common Factor of 57610 and 57620?

Greatest common factor (GCF) of 57610 and 57620 is 10.

GCF(57610,57620) = 10

We will now calculate the prime factors of 57610 and 57620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57610 and 57620.

How to find the GCF of 57610 and 57620?

We will first find the prime factorization of 57610 and 57620. After we will calculate the factors of 57610 and 57620 and find the biggest common factor number .

Step-1: Prime Factorization of 57610

Prime factors of 57610 are 2, 5, 7, 823. Prime factorization of 57610 in exponential form is:

57610 = 2¹ × 5¹ × 7¹ × 823¹

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 57610

List of positive integer factors of 57610 that divides 57610 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 823, 1646, 4115, 5761, 8230, 11522, 28805

Step-4: Factors of 57620

List of positive integer factors of 57620 that divides 57610 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 57610 and 57620. The biggest common factor number is the GCF number.
So the greatest common factor 57610 and 57620 is 10.

Also check out the Least Common Multiple of 57610 and 57620