What is the Greatest Common Factor of 54624 and 54642?

Greatest common factor (GCF) of 54624 and 54642 is 6.

GCF(54624,54642) = 6

We will now calculate the prime factors of 54624 and 54642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54624 and 54642.

How to find the GCF of 54624 and 54642?

We will first find the prime factorization of 54624 and 54642. After we will calculate the factors of 54624 and 54642 and find the biggest common factor number .

Step-1: Prime Factorization of 54624

Prime factors of 54624 are 2, 3, 569. Prime factorization of 54624 in exponential form is:

54624 = 2⁵ × 3¹ × 569¹

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 54624

List of positive integer factors of 54624 that divides 54624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 569, 1138, 1707, 2276, 3414, 4552, 6828, 9104, 13656, 18208, 27312

Step-4: Factors of 54642

List of positive integer factors of 54642 that divides 54624 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 54624 and 54642. The biggest common factor number is the GCF number.
So the greatest common factor 54624 and 54642 is 6.

Also check out the Least Common Multiple of 54624 and 54642