What is the Greatest Common Factor of 57674 and 57680?

Greatest common factor (GCF) of 57674 and 57680 is 2.

GCF(57674,57680) = 2

We will now calculate the prime factors of 57674 and 57680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57674 and 57680.

How to find the GCF of 57674 and 57680?

We will first find the prime factorization of 57674 and 57680. After we will calculate the factors of 57674 and 57680 and find the biggest common factor number .

Step-1: Prime Factorization of 57674

Prime factors of 57674 are 2, 28837. Prime factorization of 57674 in exponential form is:

57674 = 2¹ × 28837¹

Step-2: 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-3: Factors of 57674

List of positive integer factors of 57674 that divides 57674 without a remainder.

1, 2, 28837

Step-4: Factors of 57680

List of positive integer factors of 57680 that divides 57674 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57674 and 57680. The biggest common factor number is the GCF number.
So the greatest common factor 57674 and 57680 is 2.

Also check out the Least Common Multiple of 57674 and 57680