What is the Greatest Common Factor of 59887 and 59900?

Greatest common factor (GCF) of 59887 and 59900 is 1.

GCF(59887,59900) = 1

We will now calculate the prime factors of 59887 and 59900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59887 and 59900.

How to find the GCF of 59887 and 59900?

We will first find the prime factorization of 59887 and 59900. After we will calculate the factors of 59887 and 59900 and find the biggest common factor number .

Step-1: Prime Factorization of 59887

Prime factors of 59887 are 59887. Prime factorization of 59887 in exponential form is:

59887 = 59887¹

Step-2: Prime Factorization of 59900

Prime factors of 59900 are 2, 5, 599. Prime factorization of 59900 in exponential form is:

59900 = 2² × 5² × 599¹

Step-3: Factors of 59887

List of positive integer factors of 59887 that divides 59887 without a remainder.

Step-4: Factors of 59900

List of positive integer factors of 59900 that divides 59887 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 599, 1198, 2396, 2995, 5990, 11980, 14975, 29950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59887 and 59900. The biggest common factor number is the GCF number.
So the greatest common factor 59887 and 59900 is 1.

Also check out the Least Common Multiple of 59887 and 59900