What is the Greatest Common Factor of 71880 and 71895?

Greatest common factor (GCF) of 71880 and 71895 is 15.

GCF(71880,71895) = 15

We will now calculate the prime factors of 71880 and 71895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71880 and 71895.

How to find the GCF of 71880 and 71895?

We will first find the prime factorization of 71880 and 71895. After we will calculate the factors of 71880 and 71895 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 71895

Prime factors of 71895 are 3, 5, 4793. Prime factorization of 71895 in exponential form is:

71895 = 3¹ × 5¹ × 4793¹

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 71895

List of positive integer factors of 71895 that divides 71880 without a remainder.

1, 3, 5, 15, 4793, 14379, 23965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71880 and 71895. The biggest common factor number is the GCF number.
So the greatest common factor 71880 and 71895 is 15.

Also check out the Least Common Multiple of 71880 and 71895