What is the Greatest Common Factor of 54914 and 54932?

Greatest common factor (GCF) of 54914 and 54932 is 2.

GCF(54914,54932) = 2

We will now calculate the prime factors of 54914 and 54932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54914 and 54932.

How to find the GCF of 54914 and 54932?

We will first find the prime factorization of 54914 and 54932. After we will calculate the factors of 54914 and 54932 and find the biggest common factor number .

Step-1: Prime Factorization of 54914

Prime factors of 54914 are 2, 27457. Prime factorization of 54914 in exponential form is:

54914 = 2¹ × 27457¹

Step-2: 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-3: Factors of 54914

List of positive integer factors of 54914 that divides 54914 without a remainder.

1, 2, 27457

Step-4: Factors of 54932

List of positive integer factors of 54932 that divides 54914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54914 and 54932. The biggest common factor number is the GCF number.
So the greatest common factor 54914 and 54932 is 2.

Also check out the Least Common Multiple of 54914 and 54932