What is the Greatest Common Factor of 18632 and 18649?

Greatest common factor (GCF) of 18632 and 18649 is 17.

GCF(18632,18649) = 17

We will now calculate the prime factors of 18632 and 18649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18632 and 18649.

How to find the GCF of 18632 and 18649?

We will first find the prime factorization of 18632 and 18649. After we will calculate the factors of 18632 and 18649 and find the biggest common factor number .

Step-1: Prime Factorization of 18632

Prime factors of 18632 are 2, 17, 137. Prime factorization of 18632 in exponential form is:

18632 = 2³ × 17¹ × 137¹

Step-2: Prime Factorization of 18649

Prime factors of 18649 are 17, 1097. Prime factorization of 18649 in exponential form is:

18649 = 17¹ × 1097¹

Step-3: Factors of 18632

List of positive integer factors of 18632 that divides 18632 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 137, 274, 548, 1096, 2329, 4658, 9316

Step-4: Factors of 18649

List of positive integer factors of 18649 that divides 18632 without a remainder.

1, 17, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18632 and 18649. The biggest common factor number is the GCF number.
So the greatest common factor 18632 and 18649 is 17.

Also check out the Least Common Multiple of 18632 and 18649