What is the Greatest Common Factor of 59900 and 59910?

Greatest common factor (GCF) of 59900 and 59910 is 10.

GCF(59900,59910) = 10

We will now calculate the prime factors of 59900 and 59910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59900 and 59910.

How to find the GCF of 59900 and 59910?

We will first find the prime factorization of 59900 and 59910. After we will calculate the factors of 59900 and 59910 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59910

Prime factors of 59910 are 2, 3, 5, 1997. Prime factorization of 59910 in exponential form is:

59910 = 2¹ × 3¹ × 5¹ × 1997¹

Step-3: Factors of 59900

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

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

Step-4: Factors of 59910

List of positive integer factors of 59910 that divides 59900 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1997, 3994, 5991, 9985, 11982, 19970, 29955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59900 and 59910. The biggest common factor number is the GCF number.
So the greatest common factor 59900 and 59910 is 10.

Also check out the Least Common Multiple of 59900 and 59910