What is the Greatest Common Factor of 11662 and 11676?

Greatest common factor (GCF) of 11662 and 11676 is 14.

GCF(11662,11676) = 14

We will now calculate the prime factors of 11662 and 11676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11662 and 11676.

How to find the GCF of 11662 and 11676?

We will first find the prime factorization of 11662 and 11676. After we will calculate the factors of 11662 and 11676 and find the biggest common factor number .

Step-1: Prime Factorization of 11662

Prime factors of 11662 are 2, 7, 17. Prime factorization of 11662 in exponential form is:

11662 = 2¹ × 7³ × 17¹

Step-2: Prime Factorization of 11676

Prime factors of 11676 are 2, 3, 7, 139. Prime factorization of 11676 in exponential form is:

11676 = 2² × 3¹ × 7¹ × 139¹

Step-3: Factors of 11662

List of positive integer factors of 11662 that divides 11662 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 343, 686, 833, 1666, 5831

Step-4: Factors of 11676

List of positive integer factors of 11676 that divides 11662 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 139, 278, 417, 556, 834, 973, 1668, 1946, 2919, 3892, 5838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11662 and 11676. The biggest common factor number is the GCF number.
So the greatest common factor 11662 and 11676 is 14.

Also check out the Least Common Multiple of 11662 and 11676