What is the Greatest Common Factor of 11654 and 11670?

Greatest common factor (GCF) of 11654 and 11670 is 2.

GCF(11654,11670) = 2

We will now calculate the prime factors of 11654 and 11670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11654 and 11670.

How to find the GCF of 11654 and 11670?

We will first find the prime factorization of 11654 and 11670. After we will calculate the factors of 11654 and 11670 and find the biggest common factor number .

Step-1: Prime Factorization of 11654

Prime factors of 11654 are 2, 5827. Prime factorization of 11654 in exponential form is:

11654 = 2¹ × 5827¹

Step-2: Prime Factorization of 11670

Prime factors of 11670 are 2, 3, 5, 389. Prime factorization of 11670 in exponential form is:

11670 = 2¹ × 3¹ × 5¹ × 389¹

Step-3: Factors of 11654

List of positive integer factors of 11654 that divides 11654 without a remainder.

1, 2, 5827

Step-4: Factors of 11670

List of positive integer factors of 11670 that divides 11654 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 389, 778, 1167, 1945, 2334, 3890, 5835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11654 and 11670. The biggest common factor number is the GCF number.
So the greatest common factor 11654 and 11670 is 2.

Also check out the Least Common Multiple of 11654 and 11670