What is the Greatest Common Factor of 54642 and 54649?

Greatest common factor (GCF) of 54642 and 54649 is 7.

GCF(54642,54649) = 7

We will now calculate the prime factors of 54642 and 54649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54642 and 54649.

How to find the GCF of 54642 and 54649?

We will first find the prime factorization of 54642 and 54649. After we will calculate the factors of 54642 and 54649 and find the biggest common factor number .

Step-1: Prime Factorization of 54642

Prime factors of 54642 are 2, 3, 7, 1301. Prime factorization of 54642 in exponential form is:

54642 = 2¹ × 3¹ × 7¹ × 1301¹

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 54642

List of positive integer factors of 54642 that divides 54642 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1301, 2602, 3903, 7806, 9107, 18214, 27321

Step-4: Factors of 54649

List of positive integer factors of 54649 that divides 54642 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54642 and 54649. The biggest common factor number is the GCF number.
So the greatest common factor 54642 and 54649 is 7.

Also check out the Least Common Multiple of 54642 and 54649