What is the Greatest Common Factor of 54624 and 54644?

Greatest common factor (GCF) of 54624 and 54644 is 4.

GCF(54624,54644) = 4

We will now calculate the prime factors of 54624 and 54644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54624 and 54644.

How to find the GCF of 54624 and 54644?

We will first find the prime factorization of 54624 and 54644. After we will calculate the factors of 54624 and 54644 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 54644

Prime factors of 54644 are 2, 19, 719. Prime factorization of 54644 in exponential form is:

54644 = 2² × 19¹ × 719¹

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 54644

List of positive integer factors of 54644 that divides 54624 without a remainder.

1, 2, 4, 19, 38, 76, 719, 1438, 2876, 13661, 27322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54624 and 54644. The biggest common factor number is the GCF number.
So the greatest common factor 54624 and 54644 is 4.

Also check out the Least Common Multiple of 54624 and 54644