What is the Greatest Common Factor of 11862 and 11877?

Greatest common factor (GCF) of 11862 and 11877 is 3.

GCF(11862,11877) = 3

We will now calculate the prime factors of 11862 and 11877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11862 and 11877.

How to find the GCF of 11862 and 11877?

We will first find the prime factorization of 11862 and 11877. After we will calculate the factors of 11862 and 11877 and find the biggest common factor number .

Step-1: Prime Factorization of 11862

Prime factors of 11862 are 2, 3, 659. Prime factorization of 11862 in exponential form is:

11862 = 2¹ × 3² × 659¹

Step-2: Prime Factorization of 11877

Prime factors of 11877 are 3, 37, 107. Prime factorization of 11877 in exponential form is:

11877 = 3¹ × 37¹ × 107¹

Step-3: Factors of 11862

List of positive integer factors of 11862 that divides 11862 without a remainder.

1, 2, 3, 6, 9, 18, 659, 1318, 1977, 3954, 5931

Step-4: Factors of 11877

List of positive integer factors of 11877 that divides 11862 without a remainder.

1, 3, 37, 107, 111, 321, 3959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11862 and 11877. The biggest common factor number is the GCF number.
So the greatest common factor 11862 and 11877 is 3.

Also check out the Least Common Multiple of 11862 and 11877