What is the Greatest Common Factor of 44520 and 44534?

Greatest common factor (GCF) of 44520 and 44534 is 14.

GCF(44520,44534) = 14

We will now calculate the prime factors of 44520 and 44534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44520 and 44534.

How to find the GCF of 44520 and 44534?

We will first find the prime factorization of 44520 and 44534. After we will calculate the factors of 44520 and 44534 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44534

Prime factors of 44534 are 2, 7, 3181. Prime factorization of 44534 in exponential form is:

44534 = 2¹ × 7¹ × 3181¹

Step-3: Factors of 44520

List of positive integer factors of 44520 that divides 44520 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

Step-4: Factors of 44534

List of positive integer factors of 44534 that divides 44520 without a remainder.

1, 2, 7, 14, 3181, 6362, 22267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44520 and 44534. The biggest common factor number is the GCF number.
So the greatest common factor 44520 and 44534 is 14.

Also check out the Least Common Multiple of 44520 and 44534