What is the Greatest Common Factor of 71880 and 71900?

Greatest common factor (GCF) of 71880 and 71900 is 20.

GCF(71880,71900) = 20

We will now calculate the prime factors of 71880 and 71900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71880 and 71900.

How to find the GCF of 71880 and 71900?

We will first find the prime factorization of 71880 and 71900. After we will calculate the factors of 71880 and 71900 and find the biggest common factor number .

Step-1: Prime Factorization of 71880

Prime factors of 71880 are 2, 3, 5, 599. Prime factorization of 71880 in exponential form is:

71880 = 2³ × 3¹ × 5¹ × 599¹

Step-2: Prime Factorization of 71900

Prime factors of 71900 are 2, 5, 719. Prime factorization of 71900 in exponential form is:

71900 = 2² × 5² × 719¹

Step-3: Factors of 71880

List of positive integer factors of 71880 that divides 71880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 599, 1198, 1797, 2396, 2995, 3594, 4792, 5990, 7188, 8985, 11980, 14376, 17970, 23960, 35940

Step-4: Factors of 71900

List of positive integer factors of 71900 that divides 71880 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 719, 1438, 2876, 3595, 7190, 14380, 17975, 35950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71880 and 71900. The biggest common factor number is the GCF number.
So the greatest common factor 71880 and 71900 is 20.

Also check out the Least Common Multiple of 71880 and 71900