What is the Greatest Common Factor of 59925 and 59944?

Greatest common factor (GCF) of 59925 and 59944 is 1.

GCF(59925,59944) = 1

We will now calculate the prime factors of 59925 and 59944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59925 and 59944.

How to find the GCF of 59925 and 59944?

We will first find the prime factorization of 59925 and 59944. After we will calculate the factors of 59925 and 59944 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 59944

Prime factors of 59944 are 2, 59, 127. Prime factorization of 59944 in exponential form is:

59944 = 2³ × 59¹ × 127¹

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 59944

List of positive integer factors of 59944 that divides 59925 without a remainder.

1, 2, 4, 8, 59, 118, 127, 236, 254, 472, 508, 1016, 7493, 14986, 29972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59925 and 59944. The biggest common factor number is the GCF number.
So the greatest common factor 59925 and 59944 is 1.

Also check out the Least Common Multiple of 59925 and 59944