What is the Greatest Common Factor of 11658 and 11674?

Greatest common factor (GCF) of 11658 and 11674 is 2.

GCF(11658,11674) = 2

We will now calculate the prime factors of 11658 and 11674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11658 and 11674.

How to find the GCF of 11658 and 11674?

We will first find the prime factorization of 11658 and 11674. After we will calculate the factors of 11658 and 11674 and find the biggest common factor number .

Step-1: Prime Factorization of 11658

Prime factors of 11658 are 2, 3, 29, 67. Prime factorization of 11658 in exponential form is:

11658 = 2¹ × 3¹ × 29¹ × 67¹

Step-2: Prime Factorization of 11674

Prime factors of 11674 are 2, 13, 449. Prime factorization of 11674 in exponential form is:

11674 = 2¹ × 13¹ × 449¹

Step-3: Factors of 11658

List of positive integer factors of 11658 that divides 11658 without a remainder.

1, 2, 3, 6, 29, 58, 67, 87, 134, 174, 201, 402, 1943, 3886, 5829

Step-4: Factors of 11674

List of positive integer factors of 11674 that divides 11658 without a remainder.

1, 2, 13, 26, 449, 898, 5837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11658 and 11674. The biggest common factor number is the GCF number.
So the greatest common factor 11658 and 11674 is 2.

Also check out the Least Common Multiple of 11658 and 11674