What is the Greatest Common Factor of 11634 and 11641?

Greatest common factor (GCF) of 11634 and 11641 is 7.

GCF(11634,11641) = 7

We will now calculate the prime factors of 11634 and 11641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11634 and 11641.

How to find the GCF of 11634 and 11641?

We will first find the prime factorization of 11634 and 11641. After we will calculate the factors of 11634 and 11641 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 11641

Prime factors of 11641 are 7, 1663. Prime factorization of 11641 in exponential form is:

11641 = 7¹ × 1663¹

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 11641

List of positive integer factors of 11641 that divides 11634 without a remainder.

1, 7, 1663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11634 and 11641. The biggest common factor number is the GCF number.
So the greatest common factor 11634 and 11641 is 7.

Also check out the Least Common Multiple of 11634 and 11641