What is the Greatest Common Factor of 59008 and 59025?

Greatest common factor (GCF) of 59008 and 59025 is 1.

GCF(59008,59025) = 1

We will now calculate the prime factors of 59008 and 59025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59008 and 59025.

How to find the GCF of 59008 and 59025?

We will first find the prime factorization of 59008 and 59025. After we will calculate the factors of 59008 and 59025 and find the biggest common factor number .

Step-1: Prime Factorization of 59008

Prime factors of 59008 are 2, 461. Prime factorization of 59008 in exponential form is:

59008 = 2⁷ × 461¹

Step-2: Prime Factorization of 59025

Prime factors of 59025 are 3, 5, 787. Prime factorization of 59025 in exponential form is:

59025 = 3¹ × 5² × 787¹

Step-3: Factors of 59008

List of positive integer factors of 59008 that divides 59008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 461, 922, 1844, 3688, 7376, 14752, 29504

Step-4: Factors of 59025

List of positive integer factors of 59025 that divides 59008 without a remainder.

1, 3, 5, 15, 25, 75, 787, 2361, 3935, 11805, 19675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59008 and 59025. The biggest common factor number is the GCF number.
So the greatest common factor 59008 and 59025 is 1.

Also check out the Least Common Multiple of 59008 and 59025