What is the Greatest Common Factor of 55625 and 55645?

Greatest common factor (GCF) of 55625 and 55645 is 5.

GCF(55625,55645) = 5

We will now calculate the prime factors of 55625 and 55645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55625 and 55645.

How to find the GCF of 55625 and 55645?

We will first find the prime factorization of 55625 and 55645. After we will calculate the factors of 55625 and 55645 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 55645

Prime factors of 55645 are 5, 31, 359. Prime factorization of 55645 in exponential form is:

55645 = 5¹ × 31¹ × 359¹

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 55645

List of positive integer factors of 55645 that divides 55625 without a remainder.

1, 5, 31, 155, 359, 1795, 11129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55625 and 55645. The biggest common factor number is the GCF number.
So the greatest common factor 55625 and 55645 is 5.

Also check out the Least Common Multiple of 55625 and 55645