What is the Greatest Common Factor of 54628 and 54642?

Greatest common factor (GCF) of 54628 and 54642 is 14.

GCF(54628,54642) = 14

We will now calculate the prime factors of 54628 and 54642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54628 and 54642.

How to find the GCF of 54628 and 54642?

We will first find the prime factorization of 54628 and 54642. After we will calculate the factors of 54628 and 54642 and find the biggest common factor number .

Step-1: Prime Factorization of 54628

Prime factors of 54628 are 2, 7, 1951. Prime factorization of 54628 in exponential form is:

54628 = 2² × 7¹ × 1951¹

Step-2: Prime Factorization of 54642

Prime factors of 54642 are 2, 3, 7, 1301. Prime factorization of 54642 in exponential form is:

54642 = 2¹ × 3¹ × 7¹ × 1301¹

Step-3: Factors of 54628

List of positive integer factors of 54628 that divides 54628 without a remainder.

1, 2, 4, 7, 14, 28, 1951, 3902, 7804, 13657, 27314

Step-4: Factors of 54642

List of positive integer factors of 54642 that divides 54628 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1301, 2602, 3903, 7806, 9107, 18214, 27321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54628 and 54642. The biggest common factor number is the GCF number.
So the greatest common factor 54628 and 54642 is 14.

Also check out the Least Common Multiple of 54628 and 54642