What is the Greatest Common Factor of 59955 and 59975?

Greatest common factor (GCF) of 59955 and 59975 is 5.

GCF(59955,59975) = 5

We will now calculate the prime factors of 59955 and 59975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59955 and 59975.

How to find the GCF of 59955 and 59975?

We will first find the prime factorization of 59955 and 59975. After we will calculate the factors of 59955 and 59975 and find the biggest common factor number .

Step-1: Prime Factorization of 59955

Prime factors of 59955 are 3, 5, 7, 571. Prime factorization of 59955 in exponential form is:

59955 = 3¹ × 5¹ × 7¹ × 571¹

Step-2: Prime Factorization of 59975

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

59975 = 5² × 2399¹

Step-3: Factors of 59955

List of positive integer factors of 59955 that divides 59955 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 571, 1713, 2855, 3997, 8565, 11991, 19985

Step-4: Factors of 59975

List of positive integer factors of 59975 that divides 59955 without a remainder.

1, 5, 25, 2399, 11995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59955 and 59975. The biggest common factor number is the GCF number.
So the greatest common factor 59955 and 59975 is 5.

Also check out the Least Common Multiple of 59955 and 59975