What is the Greatest Common Factor of 55625 and 55635?

Greatest common factor (GCF) of 55625 and 55635 is 5.

GCF(55625,55635) = 5

We will now calculate the prime factors of 55625 and 55635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55625 and 55635.

How to find the GCF of 55625 and 55635?

We will first find the prime factorization of 55625 and 55635. After we will calculate the factors of 55625 and 55635 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 55635

Prime factors of 55635 are 3, 5, 3709. Prime factorization of 55635 in exponential form is:

55635 = 3¹ × 5¹ × 3709¹

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 55635

List of positive integer factors of 55635 that divides 55625 without a remainder.

1, 3, 5, 15, 3709, 11127, 18545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55625 and 55635. The biggest common factor number is the GCF number.
So the greatest common factor 55625 and 55635 is 5.

Also check out the Least Common Multiple of 55625 and 55635