What is the Greatest Common Factor of 59925 and 59929?

Greatest common factor (GCF) of 59925 and 59929 is 1.

GCF(59925,59929) = 1

We will now calculate the prime factors of 59925 and 59929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59925 and 59929.

How to find the GCF of 59925 and 59929?

We will first find the prime factorization of 59925 and 59929. After we will calculate the factors of 59925 and 59929 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 59929

Prime factors of 59929 are 59929. Prime factorization of 59929 in exponential form is:

59929 = 59929¹

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 59929

List of positive integer factors of 59929 that divides 59925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59925 and 59929. The biggest common factor number is the GCF number.
So the greatest common factor 59925 and 59929 is 1.

Also check out the Least Common Multiple of 59925 and 59929