What is the Greatest Common Factor of 89955 and 89975?

Greatest common factor (GCF) of 89955 and 89975 is 5.

GCF(89955,89975) = 5

We will now calculate the prime factors of 89955 and 89975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89955 and 89975.

How to find the GCF of 89955 and 89975?

We will first find the prime factorization of 89955 and 89975. After we will calculate the factors of 89955 and 89975 and find the biggest common factor number .

Step-1: Prime Factorization of 89955

Prime factors of 89955 are 3, 5, 1999. Prime factorization of 89955 in exponential form is:

89955 = 3² × 5¹ × 1999¹

Step-2: Prime Factorization of 89975

Prime factors of 89975 are 5, 59, 61. Prime factorization of 89975 in exponential form is:

89975 = 5² × 59¹ × 61¹

Step-3: Factors of 89955

List of positive integer factors of 89955 that divides 89955 without a remainder.

1, 3, 5, 9, 15, 45, 1999, 5997, 9995, 17991, 29985

Step-4: Factors of 89975

List of positive integer factors of 89975 that divides 89955 without a remainder.

1, 5, 25, 59, 61, 295, 305, 1475, 1525, 3599, 17995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89955 and 89975. The biggest common factor number is the GCF number.
So the greatest common factor 89955 and 89975 is 5.

Also check out the Least Common Multiple of 89955 and 89975