What is the Greatest Common Factor of 59925 and 59941?

Greatest common factor (GCF) of 59925 and 59941 is 1.

GCF(59925,59941) = 1

We will now calculate the prime factors of 59925 and 59941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59925 and 59941.

How to find the GCF of 59925 and 59941?

We will first find the prime factorization of 59925 and 59941. After we will calculate the factors of 59925 and 59941 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 59941

Prime factors of 59941 are 7, 8563. Prime factorization of 59941 in exponential form is:

59941 = 7¹ × 8563¹

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 59941

List of positive integer factors of 59941 that divides 59925 without a remainder.

1, 7, 8563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59925 and 59941. The biggest common factor number is the GCF number.
So the greatest common factor 59925 and 59941 is 1.

Also check out the Least Common Multiple of 59925 and 59941