What is the Greatest Common Factor of 11634 and 11654?

Greatest common factor (GCF) of 11634 and 11654 is 2.

GCF(11634,11654) = 2

We will now calculate the prime factors of 11634 and 11654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11634 and 11654.

How to find the GCF of 11634 and 11654?

We will first find the prime factorization of 11634 and 11654. After we will calculate the factors of 11634 and 11654 and find the biggest common factor number .

Step-1: Prime Factorization of 11634

Prime factors of 11634 are 2, 3, 7, 277. Prime factorization of 11634 in exponential form is:

11634 = 2¹ × 3¹ × 7¹ × 277¹

Step-2: Prime Factorization of 11654

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

11654 = 2¹ × 5827¹

Step-3: Factors of 11634

List of positive integer factors of 11634 that divides 11634 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 277, 554, 831, 1662, 1939, 3878, 5817

Step-4: Factors of 11654

List of positive integer factors of 11654 that divides 11634 without a remainder.

1, 2, 5827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11634 and 11654. The biggest common factor number is the GCF number.
So the greatest common factor 11634 and 11654 is 2.

Also check out the Least Common Multiple of 11634 and 11654