What is the Greatest Common Factor of 6634 and 6648?

Greatest common factor (GCF) of 6634 and 6648 is 2.

GCF(6634,6648) = 2

We will now calculate the prime factors of 6634 and 6648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6634 and 6648.

How to find the GCF of 6634 and 6648?

We will first find the prime factorization of 6634 and 6648. After we will calculate the factors of 6634 and 6648 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 6648

Prime factors of 6648 are 2, 3, 277. Prime factorization of 6648 in exponential form is:

6648 = 2³ × 3¹ × 277¹

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 6648

List of positive integer factors of 6648 that divides 6634 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6634 and 6648. The biggest common factor number is the GCF number.
So the greatest common factor 6634 and 6648 is 2.

Also check out the Least Common Multiple of 6634 and 6648