What is the Greatest Common Factor of 7632 and 7648?

Greatest common factor (GCF) of 7632 and 7648 is 16.

GCF(7632,7648) = 16

We will now calculate the prime factors of 7632 and 7648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7632 and 7648.

How to find the GCF of 7632 and 7648?

We will first find the prime factorization of 7632 and 7648. After we will calculate the factors of 7632 and 7648 and find the biggest common factor number .

Step-1: Prime Factorization of 7632

Prime factors of 7632 are 2, 3, 53. Prime factorization of 7632 in exponential form is:

7632 = 2⁴ × 3² × 53¹

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 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816

Step-4: Factors of 7648

List of positive integer factors of 7648 that divides 7632 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 7632 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7632 and 7648 is 16.

Also check out the Least Common Multiple of 7632 and 7648