What is the Greatest Common Factor of 7632 and 7649?

Greatest common factor (GCF) of 7632 and 7649 is 1.

GCF(7632,7649) = 1

We will now calculate the prime factors of 7632 and 7649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7632 and 7649.

How to find the GCF of 7632 and 7649?

We will first find the prime factorization of 7632 and 7649. After we will calculate the factors of 7632 and 7649 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 7649

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

7649 = 7649¹

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 7649

List of positive integer factors of 7649 that divides 7632 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7632 and 7649. The biggest common factor number is the GCF number.
So the greatest common factor 7632 and 7649 is 1.

Also check out the Least Common Multiple of 7632 and 7649