What is the Greatest Common Factor of 57680 and 57692?

Greatest common factor (GCF) of 57680 and 57692 is 4.

GCF(57680,57692) = 4

We will now calculate the prime factors of 57680 and 57692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57680 and 57692.

How to find the GCF of 57680 and 57692?

We will first find the prime factorization of 57680 and 57692. After we will calculate the factors of 57680 and 57692 and find the biggest common factor number .

Step-1: Prime Factorization of 57680

Prime factors of 57680 are 2, 5, 7, 103. Prime factorization of 57680 in exponential form is:

57680 = 2⁴ × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 57692

Prime factors of 57692 are 2, 14423. Prime factorization of 57692 in exponential form is:

57692 = 2² × 14423¹

Step-3: Factors of 57680

List of positive integer factors of 57680 that divides 57680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 103, 112, 140, 206, 280, 412, 515, 560, 721, 824, 1030, 1442, 1648, 2060, 2884, 3605, 4120, 5768, 7210, 8240, 11536, 14420, 28840

Step-4: Factors of 57692

List of positive integer factors of 57692 that divides 57680 without a remainder.

1, 2, 4, 14423, 28846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57680 and 57692. The biggest common factor number is the GCF number.
So the greatest common factor 57680 and 57692 is 4.

Also check out the Least Common Multiple of 57680 and 57692