What is the Greatest Common Factor of 55625 and 55637?

Greatest common factor (GCF) of 55625 and 55637 is 1.

GCF(55625,55637) = 1

We will now calculate the prime factors of 55625 and 55637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55625 and 55637.

How to find the GCF of 55625 and 55637?

We will first find the prime factorization of 55625 and 55637. After we will calculate the factors of 55625 and 55637 and find the biggest common factor number .

Step-1: Prime Factorization of 55625

Prime factors of 55625 are 5, 89. Prime factorization of 55625 in exponential form is:

55625 = 5⁴ × 89¹

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 55625

List of positive integer factors of 55625 that divides 55625 without a remainder.

1, 5, 25, 89, 125, 445, 625, 2225, 11125

Step-4: Factors of 55637

List of positive integer factors of 55637 that divides 55625 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55625 and 55637. The biggest common factor number is the GCF number.
So the greatest common factor 55625 and 55637 is 1.

Also check out the Least Common Multiple of 55625 and 55637