What is the Greatest Common Factor of 57632 and 57648?

Greatest common factor (GCF) of 57632 and 57648 is 16.

GCF(57632,57648) = 16

We will now calculate the prime factors of 57632 and 57648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57632 and 57648.

How to find the GCF of 57632 and 57648?

We will first find the prime factorization of 57632 and 57648. After we will calculate the factors of 57632 and 57648 and find the biggest common factor number .

Step-1: Prime Factorization of 57632

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

57632 = 2⁵ × 1801¹

Step-2: Prime Factorization of 57648

Prime factors of 57648 are 2, 3, 1201. Prime factorization of 57648 in exponential form is:

57648 = 2⁴ × 3¹ × 1201¹

Step-3: Factors of 57632

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

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

Step-4: Factors of 57648

List of positive integer factors of 57648 that divides 57632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1201, 2402, 3603, 4804, 7206, 9608, 14412, 19216, 28824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57632 and 57648. The biggest common factor number is the GCF number.
So the greatest common factor 57632 and 57648 is 16.

Also check out the Least Common Multiple of 57632 and 57648