What is the Greatest Common Factor of 7634 and 7648?

Greatest common factor (GCF) of 7634 and 7648 is 2.

GCF(7634,7648) = 2

We will now calculate the prime factors of 7634 and 7648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7634 and 7648.

How to find the GCF of 7634 and 7648?

We will first find the prime factorization of 7634 and 7648. After we will calculate the factors of 7634 and 7648 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 7648

Prime factors of 7648 are 2, 239. Prime factorization of 7648 in exponential form is:

7648 = 2⁵ × 239¹

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 7648

List of positive integer factors of 7648 that divides 7634 without a remainder.

1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7634 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7634 and 7648 is 2.

Also check out the Least Common Multiple of 7634 and 7648