What is the Greatest Common Factor of 55624 and 55638?

Greatest common factor (GCF) of 55624 and 55638 is 2.

GCF(55624,55638) = 2

We will now calculate the prime factors of 55624 and 55638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55624 and 55638.

How to find the GCF of 55624 and 55638?

We will first find the prime factorization of 55624 and 55638. After we will calculate the factors of 55624 and 55638 and find the biggest common factor number .

Step-1: Prime Factorization of 55624

Prime factors of 55624 are 2, 17, 409. Prime factorization of 55624 in exponential form is:

55624 = 2³ × 17¹ × 409¹

Step-2: Prime Factorization of 55638

Prime factors of 55638 are 2, 3, 11, 281. Prime factorization of 55638 in exponential form is:

55638 = 2¹ × 3² × 11¹ × 281¹

Step-3: Factors of 55624

List of positive integer factors of 55624 that divides 55624 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 409, 818, 1636, 3272, 6953, 13906, 27812

Step-4: Factors of 55638

List of positive integer factors of 55638 that divides 55624 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 281, 562, 843, 1686, 2529, 3091, 5058, 6182, 9273, 18546, 27819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55624 and 55638. The biggest common factor number is the GCF number.
So the greatest common factor 55624 and 55638 is 2.

Also check out the Least Common Multiple of 55624 and 55638