What is the Greatest Common Factor of 54932 and 54944?

Greatest common factor (GCF) of 54932 and 54944 is 4.

GCF(54932,54944) = 4

We will now calculate the prime factors of 54932 and 54944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54932 and 54944.

How to find the GCF of 54932 and 54944?

We will first find the prime factorization of 54932 and 54944. After we will calculate the factors of 54932 and 54944 and find the biggest common factor number .

Step-1: Prime Factorization of 54932

Prime factors of 54932 are 2, 31, 443. Prime factorization of 54932 in exponential form is:

54932 = 2² × 31¹ × 443¹

Step-2: Prime Factorization of 54944

Prime factors of 54944 are 2, 17, 101. Prime factorization of 54944 in exponential form is:

54944 = 2⁵ × 17¹ × 101¹

Step-3: Factors of 54932

List of positive integer factors of 54932 that divides 54932 without a remainder.

1, 2, 4, 31, 62, 124, 443, 886, 1772, 13733, 27466

Step-4: Factors of 54944

List of positive integer factors of 54944 that divides 54932 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 101, 136, 202, 272, 404, 544, 808, 1616, 1717, 3232, 3434, 6868, 13736, 27472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54932 and 54944. The biggest common factor number is the GCF number.
So the greatest common factor 54932 and 54944 is 4.

Also check out the Least Common Multiple of 54932 and 54944