What is the Greatest Common Factor of 59925 and 59934?

Greatest common factor (GCF) of 59925 and 59934 is 3.

GCF(59925,59934) = 3

We will now calculate the prime factors of 59925 and 59934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59925 and 59934.

How to find the GCF of 59925 and 59934?

We will first find the prime factorization of 59925 and 59934. After we will calculate the factors of 59925 and 59934 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 59934

Prime factors of 59934 are 2, 3, 7, 1427. Prime factorization of 59934 in exponential form is:

59934 = 2¹ × 3¹ × 7¹ × 1427¹

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 59934

List of positive integer factors of 59934 that divides 59925 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1427, 2854, 4281, 8562, 9989, 19978, 29967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59925 and 59934. The biggest common factor number is the GCF number.
So the greatest common factor 59925 and 59934 is 3.

Also check out the Least Common Multiple of 59925 and 59934