What is the Greatest Common Factor of 6634 and 6652?

Greatest common factor (GCF) of 6634 and 6652 is 2.

GCF(6634,6652) = 2

We will now calculate the prime factors of 6634 and 6652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6634 and 6652.

How to find the GCF of 6634 and 6652?

We will first find the prime factorization of 6634 and 6652. After we will calculate the factors of 6634 and 6652 and find the biggest common factor number .

Step-1: Prime Factorization of 6634

Prime factors of 6634 are 2, 31, 107. Prime factorization of 6634 in exponential form is:

6634 = 2¹ × 31¹ × 107¹

Step-2: Prime Factorization of 6652

Prime factors of 6652 are 2, 1663. Prime factorization of 6652 in exponential form is:

6652 = 2² × 1663¹

Step-3: Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1, 2, 31, 62, 107, 214, 3317

Step-4: Factors of 6652

List of positive integer factors of 6652 that divides 6634 without a remainder.

1, 2, 4, 1663, 3326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6634 and 6652. The biggest common factor number is the GCF number.
So the greatest common factor 6634 and 6652 is 2.

Also check out the Least Common Multiple of 6634 and 6652