What is the Greatest Common Factor of 55608 and 55625?

Greatest common factor (GCF) of 55608 and 55625 is 1.

GCF(55608,55625) = 1

We will now calculate the prime factors of 55608 and 55625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55608 and 55625.

How to find the GCF of 55608 and 55625?

We will first find the prime factorization of 55608 and 55625. After we will calculate the factors of 55608 and 55625 and find the biggest common factor number .

Step-1: Prime Factorization of 55608

Prime factors of 55608 are 2, 3, 7, 331. Prime factorization of 55608 in exponential form is:

55608 = 2³ × 3¹ × 7¹ × 331¹

Step-2: Prime Factorization of 55625

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

55625 = 5⁴ × 89¹

Step-3: Factors of 55608

List of positive integer factors of 55608 that divides 55608 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 331, 662, 993, 1324, 1986, 2317, 2648, 3972, 4634, 6951, 7944, 9268, 13902, 18536, 27804

Step-4: Factors of 55625

List of positive integer factors of 55625 that divides 55608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55608 and 55625. The biggest common factor number is the GCF number.
So the greatest common factor 55608 and 55625 is 1.

Also check out the Least Common Multiple of 55608 and 55625