What is the Greatest Common Factor of 7634 and 7645?

Greatest common factor (GCF) of 7634 and 7645 is 11.

GCF(7634,7645) = 11

We will now calculate the prime factors of 7634 and 7645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7634 and 7645.

How to find the GCF of 7634 and 7645?

We will first find the prime factorization of 7634 and 7645. After we will calculate the factors of 7634 and 7645 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 7645

Prime factors of 7645 are 5, 11, 139. Prime factorization of 7645 in exponential form is:

7645 = 5¹ × 11¹ × 139¹

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 7645

List of positive integer factors of 7645 that divides 7634 without a remainder.

1, 5, 11, 55, 139, 695, 1529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7634 and 7645. The biggest common factor number is the GCF number.
So the greatest common factor 7634 and 7645 is 11.

Also check out the Least Common Multiple of 7634 and 7645