What is the Greatest Common Factor of 59912 and 59925?

Greatest common factor (GCF) of 59912 and 59925 is 1.

GCF(59912,59925) = 1

We will now calculate the prime factors of 59912 and 59925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59912 and 59925.

How to find the GCF of 59912 and 59925?

We will first find the prime factorization of 59912 and 59925. After we will calculate the factors of 59912 and 59925 and find the biggest common factor number .

Step-1: Prime Factorization of 59912

Prime factors of 59912 are 2, 7489. Prime factorization of 59912 in exponential form is:

59912 = 2³ × 7489¹

Step-2: Prime Factorization of 59925

Prime factors of 59925 are 3, 5, 17, 47. Prime factorization of 59925 in exponential form is:

59925 = 3¹ × 5² × 17¹ × 47¹

Step-3: Factors of 59912

List of positive integer factors of 59912 that divides 59912 without a remainder.

1, 2, 4, 8, 7489, 14978, 29956

Step-4: Factors of 59925

List of positive integer factors of 59925 that divides 59912 without a remainder.

1, 3, 5, 15, 17, 25, 47, 51, 75, 85, 141, 235, 255, 425, 705, 799, 1175, 1275, 2397, 3525, 3995, 11985, 19975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59912 and 59925. The biggest common factor number is the GCF number.
So the greatest common factor 59912 and 59925 is 1.

Also check out the Least Common Multiple of 59912 and 59925