What is the Greatest Common Factor of 59975 and 59985?

Greatest common factor (GCF) of 59975 and 59985 is 5.

GCF(59975,59985) = 5

We will now calculate the prime factors of 59975 and 59985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59975 and 59985.

How to find the GCF of 59975 and 59985?

We will first find the prime factorization of 59975 and 59985. After we will calculate the factors of 59975 and 59985 and find the biggest common factor number .

Step-1: Prime Factorization of 59975

Prime factors of 59975 are 5, 2399. Prime factorization of 59975 in exponential form is:

59975 = 5² × 2399¹

Step-2: Prime Factorization of 59985

Prime factors of 59985 are 3, 5, 31, 43. Prime factorization of 59985 in exponential form is:

59985 = 3² × 5¹ × 31¹ × 43¹

Step-3: Factors of 59975

List of positive integer factors of 59975 that divides 59975 without a remainder.

1, 5, 25, 2399, 11995

Step-4: Factors of 59985

List of positive integer factors of 59985 that divides 59975 without a remainder.

1, 3, 5, 9, 15, 31, 43, 45, 93, 129, 155, 215, 279, 387, 465, 645, 1333, 1395, 1935, 3999, 6665, 11997, 19995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59975 and 59985. The biggest common factor number is the GCF number.
So the greatest common factor 59975 and 59985 is 5.

Also check out the Least Common Multiple of 59975 and 59985