What is the Greatest Common Factor of 54635 and 54649?

Greatest common factor (GCF) of 54635 and 54649 is 7.

GCF(54635,54649) = 7

We will now calculate the prime factors of 54635 and 54649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54635 and 54649.

How to find the GCF of 54635 and 54649?

We will first find the prime factorization of 54635 and 54649. After we will calculate the factors of 54635 and 54649 and find the biggest common factor number .

Step-1: Prime Factorization of 54635

Prime factors of 54635 are 5, 7, 223. Prime factorization of 54635 in exponential form is:

54635 = 5¹ × 7² × 223¹

Step-2: Prime Factorization of 54649

Prime factors of 54649 are 7, 37, 211. Prime factorization of 54649 in exponential form is:

54649 = 7¹ × 37¹ × 211¹

Step-3: Factors of 54635

List of positive integer factors of 54635 that divides 54635 without a remainder.

1, 5, 7, 35, 49, 223, 245, 1115, 1561, 7805, 10927

Step-4: Factors of 54649

List of positive integer factors of 54649 that divides 54635 without a remainder.

1, 7, 37, 211, 259, 1477, 7807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54635 and 54649. The biggest common factor number is the GCF number.
So the greatest common factor 54635 and 54649 is 7.

Also check out the Least Common Multiple of 54635 and 54649