What is the Greatest Common Factor of 11674 and 11692?

Greatest common factor (GCF) of 11674 and 11692 is 2.

GCF(11674,11692) = 2

We will now calculate the prime factors of 11674 and 11692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11674 and 11692.

How to find the GCF of 11674 and 11692?

We will first find the prime factorization of 11674 and 11692. After we will calculate the factors of 11674 and 11692 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11692

Prime factors of 11692 are 2, 37, 79. Prime factorization of 11692 in exponential form is:

11692 = 2² × 37¹ × 79¹

Step-3: Factors of 11674

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

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

Step-4: Factors of 11692

List of positive integer factors of 11692 that divides 11674 without a remainder.

1, 2, 4, 37, 74, 79, 148, 158, 316, 2923, 5846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11674 and 11692. The biggest common factor number is the GCF number.
So the greatest common factor 11674 and 11692 is 2.

Also check out the Least Common Multiple of 11674 and 11692