What is the Greatest Common Factor of 55624 and 55641?

Greatest common factor (GCF) of 55624 and 55641 is 17.

GCF(55624,55641) = 17

We will now calculate the prime factors of 55624 and 55641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55624 and 55641.

How to find the GCF of 55624 and 55641?

We will first find the prime factorization of 55624 and 55641. After we will calculate the factors of 55624 and 55641 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 55641

Prime factors of 55641 are 3, 17, 1091. Prime factorization of 55641 in exponential form is:

55641 = 3¹ × 17¹ × 1091¹

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 55641

List of positive integer factors of 55641 that divides 55624 without a remainder.

1, 3, 17, 51, 1091, 3273, 18547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55624 and 55641. The biggest common factor number is the GCF number.
So the greatest common factor 55624 and 55641 is 17.

Also check out the Least Common Multiple of 55624 and 55641