What is the Greatest Common Factor of 71889 and 71907?

Greatest common factor (GCF) of 71889 and 71907 is 3.

GCF(71889,71907) = 3

We will now calculate the prime factors of 71889 and 71907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71889 and 71907.

How to find the GCF of 71889 and 71907?

We will first find the prime factorization of 71889 and 71907. After we will calculate the factors of 71889 and 71907 and find the biggest common factor number .

Step-1: Prime Factorization of 71889

Prime factors of 71889 are 3, 31, 773. Prime factorization of 71889 in exponential form is:

71889 = 3¹ × 31¹ × 773¹

Step-2: Prime Factorization of 71907

Prime factors of 71907 are 3, 11, 2179. Prime factorization of 71907 in exponential form is:

71907 = 3¹ × 11¹ × 2179¹

Step-3: Factors of 71889

List of positive integer factors of 71889 that divides 71889 without a remainder.

1, 3, 31, 93, 773, 2319, 23963

Step-4: Factors of 71907

List of positive integer factors of 71907 that divides 71889 without a remainder.

1, 3, 11, 33, 2179, 6537, 23969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71889 and 71907. The biggest common factor number is the GCF number.
So the greatest common factor 71889 and 71907 is 3.

Also check out the Least Common Multiple of 71889 and 71907