What is the Greatest Common Factor of 4627 and 4634?

Greatest common factor (GCF) of 4627 and 4634 is 7.

GCF(4627,4634) = 7

We will now calculate the prime factors of 4627 and 4634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4627 and 4634.

How to find the GCF of 4627 and 4634?

We will first find the prime factorization of 4627 and 4634. After we will calculate the factors of 4627 and 4634 and find the biggest common factor number .

Step-1: Prime Factorization of 4627

Prime factors of 4627 are 7, 661. Prime factorization of 4627 in exponential form is:

4627 = 7¹ × 661¹

Step-2: Prime Factorization of 4634

Prime factors of 4634 are 2, 7, 331. Prime factorization of 4634 in exponential form is:

4634 = 2¹ × 7¹ × 331¹

Step-3: Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1, 7, 661

Step-4: Factors of 4634

List of positive integer factors of 4634 that divides 4627 without a remainder.

1, 2, 7, 14, 331, 662, 2317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4627 and 4634. The biggest common factor number is the GCF number.
So the greatest common factor 4627 and 4634 is 7.

Also check out the Least Common Multiple of 4627 and 4634