What is the Greatest Common Factor of 71860 and 71875?

Greatest common factor (GCF) of 71860 and 71875 is 5.

GCF(71860,71875) = 5

We will now calculate the prime factors of 71860 and 71875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71860 and 71875.

How to find the GCF of 71860 and 71875?

We will first find the prime factorization of 71860 and 71875. After we will calculate the factors of 71860 and 71875 and find the biggest common factor number .

Step-1: Prime Factorization of 71860

Prime factors of 71860 are 2, 5, 3593. Prime factorization of 71860 in exponential form is:

71860 = 2² × 5¹ × 3593¹

Step-2: Prime Factorization of 71875

Prime factors of 71875 are 5, 23. Prime factorization of 71875 in exponential form is:

71875 = 5⁵ × 23¹

Step-3: Factors of 71860

List of positive integer factors of 71860 that divides 71860 without a remainder.

1, 2, 4, 5, 10, 20, 3593, 7186, 14372, 17965, 35930

Step-4: Factors of 71875

List of positive integer factors of 71875 that divides 71860 without a remainder.

1, 5, 23, 25, 115, 125, 575, 625, 2875, 3125, 14375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71860 and 71875. The biggest common factor number is the GCF number.
So the greatest common factor 71860 and 71875 is 5.

Also check out the Least Common Multiple of 71860 and 71875