What is the Greatest Common Factor of 54624 and 54638?

Greatest common factor (GCF) of 54624 and 54638 is 2.

GCF(54624,54638) = 2

We will now calculate the prime factors of 54624 and 54638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54624 and 54638.

How to find the GCF of 54624 and 54638?

We will first find the prime factorization of 54624 and 54638. After we will calculate the factors of 54624 and 54638 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 54638

Prime factors of 54638 are 2, 17, 1607. Prime factorization of 54638 in exponential form is:

54638 = 2¹ × 17¹ × 1607¹

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 54638

List of positive integer factors of 54638 that divides 54624 without a remainder.

1, 2, 17, 34, 1607, 3214, 27319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54624 and 54638. The biggest common factor number is the GCF number.
So the greatest common factor 54624 and 54638 is 2.

Also check out the Least Common Multiple of 54624 and 54638