What is the Greatest Common Factor of 57616 and 57632?

Greatest common factor (GCF) of 57616 and 57632 is 16.

GCF(57616,57632) = 16

We will now calculate the prime factors of 57616 and 57632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57616 and 57632.

How to find the GCF of 57616 and 57632?

We will first find the prime factorization of 57616 and 57632. After we will calculate the factors of 57616 and 57632 and find the biggest common factor number .

Step-1: Prime Factorization of 57616

Prime factors of 57616 are 2, 13, 277. Prime factorization of 57616 in exponential form is:

57616 = 2⁴ × 13¹ × 277¹

Step-2: Prime Factorization of 57632

Prime factors of 57632 are 2, 1801. Prime factorization of 57632 in exponential form is:

57632 = 2⁵ × 1801¹

Step-3: Factors of 57616

List of positive integer factors of 57616 that divides 57616 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 277, 554, 1108, 2216, 3601, 4432, 7202, 14404, 28808

Step-4: Factors of 57632

List of positive integer factors of 57632 that divides 57616 without a remainder.

1, 2, 4, 8, 16, 32, 1801, 3602, 7204, 14408, 28816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57616 and 57632. The biggest common factor number is the GCF number.
So the greatest common factor 57616 and 57632 is 16.

Also check out the Least Common Multiple of 57616 and 57632