What is the Greatest Common Factor of 55626 and 55637?

Greatest common factor (GCF) of 55626 and 55637 is 1.

GCF(55626,55637) = 1

We will now calculate the prime factors of 55626 and 55637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55626 and 55637.

How to find the GCF of 55626 and 55637?

We will first find the prime factorization of 55626 and 55637. After we will calculate the factors of 55626 and 55637 and find the biggest common factor number .

Step-1: Prime Factorization of 55626

Prime factors of 55626 are 2, 3, 73, 127. Prime factorization of 55626 in exponential form is:

55626 = 2¹ × 3¹ × 73¹ × 127¹

Step-2: Prime Factorization of 55637

Prime factors of 55637 are 23, 41, 59. Prime factorization of 55637 in exponential form is:

55637 = 23¹ × 41¹ × 59¹

Step-3: Factors of 55626

List of positive integer factors of 55626 that divides 55626 without a remainder.

1, 2, 3, 6, 73, 127, 146, 219, 254, 381, 438, 762, 9271, 18542, 27813

Step-4: Factors of 55637

List of positive integer factors of 55637 that divides 55626 without a remainder.

1, 23, 41, 59, 943, 1357, 2419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55626 and 55637. The biggest common factor number is the GCF number.
So the greatest common factor 55626 and 55637 is 1.

Also check out the Least Common Multiple of 55626 and 55637