What is the Greatest Common Factor of 44489 and 44506?

Greatest common factor (GCF) of 44489 and 44506 is 17.

GCF(44489,44506) = 17

We will now calculate the prime factors of 44489 and 44506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44489 and 44506.

How to find the GCF of 44489 and 44506?

We will first find the prime factorization of 44489 and 44506. After we will calculate the factors of 44489 and 44506 and find the biggest common factor number .

Step-1: Prime Factorization of 44489

Prime factors of 44489 are 17, 2617. Prime factorization of 44489 in exponential form is:

44489 = 17¹ × 2617¹

Step-2: Prime Factorization of 44506

Prime factors of 44506 are 2, 7, 11, 17. Prime factorization of 44506 in exponential form is:

44506 = 2¹ × 7¹ × 11¹ × 17²

Step-3: Factors of 44489

List of positive integer factors of 44489 that divides 44489 without a remainder.

1, 17, 2617

Step-4: Factors of 44506

List of positive integer factors of 44506 that divides 44489 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 289, 374, 578, 1309, 2023, 2618, 3179, 4046, 6358, 22253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44489 and 44506. The biggest common factor number is the GCF number.
So the greatest common factor 44489 and 44506 is 17.

Also check out the Least Common Multiple of 44489 and 44506