What is the Greatest Common Factor of 44506 and 44520?

Greatest common factor (GCF) of 44506 and 44520 is 14.

GCF(44506,44520) = 14

We will now calculate the prime factors of 44506 and 44520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44506 and 44520.

How to find the GCF of 44506 and 44520?

We will first find the prime factorization of 44506 and 44520. After we will calculate the factors of 44506 and 44520 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44520

Prime factors of 44520 are 2, 3, 5, 7, 53. Prime factorization of 44520 in exponential form is:

44520 = 2³ × 3¹ × 5¹ × 7¹ × 53¹

Step-3: Factors of 44506

List of positive integer factors of 44506 that divides 44506 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

Step-4: Factors of 44520

List of positive integer factors of 44520 that divides 44506 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 53, 56, 60, 70, 84, 105, 106, 120, 140, 159, 168, 210, 212, 265, 280, 318, 371, 420, 424, 530, 636, 742, 795, 840, 1060, 1113, 1272, 1484, 1590, 1855, 2120, 2226, 2968, 3180, 3710, 4452, 5565, 6360, 7420, 8904, 11130, 14840, 22260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44506 and 44520. The biggest common factor number is the GCF number.
So the greatest common factor 44506 and 44520 is 14.

Also check out the Least Common Multiple of 44506 and 44520