What is the Greatest Common Factor of 7627 and 7644?

Greatest common factor (GCF) of 7627 and 7644 is 1.

GCF(7627,7644) = 1

We will now calculate the prime factors of 7627 and 7644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7627 and 7644.

How to find the GCF of 7627 and 7644?

We will first find the prime factorization of 7627 and 7644. After we will calculate the factors of 7627 and 7644 and find the biggest common factor number .

Step-1: Prime Factorization of 7627

Prime factors of 7627 are 29, 263. Prime factorization of 7627 in exponential form is:

7627 = 29¹ × 263¹

Step-2: Prime Factorization of 7644

Prime factors of 7644 are 2, 3, 7, 13. Prime factorization of 7644 in exponential form is:

7644 = 2² × 3¹ × 7² × 13¹

Step-3: Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1, 29, 263

Step-4: Factors of 7644

List of positive integer factors of 7644 that divides 7627 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7627 and 7644. The biggest common factor number is the GCF number.
So the greatest common factor 7627 and 7644 is 1.

Also check out the Least Common Multiple of 7627 and 7644