What is the Greatest Common Factor of 71886 and 71895?

Greatest common factor (GCF) of 71886 and 71895 is 3.

GCF(71886,71895) = 3

We will now calculate the prime factors of 71886 and 71895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71886 and 71895.

How to find the GCF of 71886 and 71895?

We will first find the prime factorization of 71886 and 71895. After we will calculate the factors of 71886 and 71895 and find the biggest common factor number .

Step-1: Prime Factorization of 71886

Prime factors of 71886 are 2, 3, 11981. Prime factorization of 71886 in exponential form is:

71886 = 2¹ × 3¹ × 11981¹

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 71886

List of positive integer factors of 71886 that divides 71886 without a remainder.

1, 2, 3, 6, 11981, 23962, 35943

Step-4: Factors of 71895

List of positive integer factors of 71895 that divides 71886 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71886 and 71895. The biggest common factor number is the GCF number.
So the greatest common factor 71886 and 71895 is 3.

Also check out the Least Common Multiple of 71886 and 71895