What is the Greatest Common Factor of 7634 and 7649?

Greatest common factor (GCF) of 7634 and 7649 is 1.

GCF(7634,7649) = 1

We will now calculate the prime factors of 7634 and 7649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7634 and 7649.

How to find the GCF of 7634 and 7649?

We will first find the prime factorization of 7634 and 7649. After we will calculate the factors of 7634 and 7649 and find the biggest common factor number .

Step-1: Prime Factorization of 7634

Prime factors of 7634 are 2, 11, 347. Prime factorization of 7634 in exponential form is:

7634 = 2¹ × 11¹ × 347¹

Step-2: Prime Factorization of 7649

Prime factors of 7649 are 7649. Prime factorization of 7649 in exponential form is:

7649 = 7649¹

Step-3: Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1, 2, 11, 22, 347, 694, 3817

Step-4: Factors of 7649

List of positive integer factors of 7649 that divides 7634 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7634 and 7649. The biggest common factor number is the GCF number.
So the greatest common factor 7634 and 7649 is 1.

Also check out the Least Common Multiple of 7634 and 7649