What is the Greatest Common Factor of 6614 and 6634?

Greatest common factor (GCF) of 6614 and 6634 is 2.

GCF(6614,6634) = 2

We will now calculate the prime factors of 6614 and 6634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6614 and 6634.

How to find the GCF of 6614 and 6634?

We will first find the prime factorization of 6614 and 6634. After we will calculate the factors of 6614 and 6634 and find the biggest common factor number .

Step-1: Prime Factorization of 6614

Prime factors of 6614 are 2, 3307. Prime factorization of 6614 in exponential form is:

6614 = 2¹ × 3307¹

Step-2: 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-3: Factors of 6614

List of positive integer factors of 6614 that divides 6614 without a remainder.

1, 2, 3307

Step-4: Factors of 6634

List of positive integer factors of 6634 that divides 6614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6614 and 6634. The biggest common factor number is the GCF number.
So the greatest common factor 6614 and 6634 is 2.

Also check out the Least Common Multiple of 6614 and 6634