What is the Greatest Common Factor of 59925 and 59932?

Greatest common factor (GCF) of 59925 and 59932 is 1.

GCF(59925,59932) = 1

We will now calculate the prime factors of 59925 and 59932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59925 and 59932.

How to find the GCF of 59925 and 59932?

We will first find the prime factorization of 59925 and 59932. After we will calculate the factors of 59925 and 59932 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59932

Prime factors of 59932 are 2, 14983. Prime factorization of 59932 in exponential form is:

59932 = 2² × 14983¹

Step-3: Factors of 59925

List of positive integer factors of 59925 that divides 59925 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

Step-4: Factors of 59932

List of positive integer factors of 59932 that divides 59925 without a remainder.

1, 2, 4, 14983, 29966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59925 and 59932. The biggest common factor number is the GCF number.
So the greatest common factor 59925 and 59932 is 1.

Also check out the Least Common Multiple of 59925 and 59932