What is the Greatest Common Factor of 2632 and 2646?

Greatest common factor (GCF) of 2632 and 2646 is 14.

GCF(2632,2646) = 14

We will now calculate the prime factors of 2632 and 2646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2632 and 2646.

How to find the GCF of 2632 and 2646?

We will first find the prime factorization of 2632 and 2646. After we will calculate the factors of 2632 and 2646 and find the biggest common factor number .

Step-1: Prime Factorization of 2632

Prime factors of 2632 are 2, 7, 47. Prime factorization of 2632 in exponential form is:

2632 = 2³ × 7¹ × 47¹

Step-2: Prime Factorization of 2646

Prime factors of 2646 are 2, 3, 7. Prime factorization of 2646 in exponential form is:

2646 = 2¹ × 3³ × 7²

Step-3: Factors of 2632

List of positive integer factors of 2632 that divides 2632 without a remainder.

1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316

Step-4: Factors of 2646

List of positive integer factors of 2646 that divides 2632 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2632 and 2646. The biggest common factor number is the GCF number.
So the greatest common factor 2632 and 2646 is 14.

Also check out the Least Common Multiple of 2632 and 2646