What is the Greatest Common Factor of 44590 and 44604?

Greatest common factor (GCF) of 44590 and 44604 is 14.

GCF(44590,44604) = 14

We will now calculate the prime factors of 44590 and 44604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44590 and 44604.

How to find the GCF of 44590 and 44604?

We will first find the prime factorization of 44590 and 44604. After we will calculate the factors of 44590 and 44604 and find the biggest common factor number .

Step-1: Prime Factorization of 44590

Prime factors of 44590 are 2, 5, 7, 13. Prime factorization of 44590 in exponential form is:

44590 = 2¹ × 5¹ × 7³ × 13¹

Step-2: Prime Factorization of 44604

Prime factors of 44604 are 2, 3, 7, 59. Prime factorization of 44604 in exponential form is:

44604 = 2² × 3³ × 7¹ × 59¹

Step-3: Factors of 44590

List of positive integer factors of 44590 that divides 44590 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 343, 455, 490, 637, 686, 910, 1274, 1715, 3185, 3430, 4459, 6370, 8918, 22295

Step-4: Factors of 44604

List of positive integer factors of 44604 that divides 44590 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 59, 63, 84, 108, 118, 126, 177, 189, 236, 252, 354, 378, 413, 531, 708, 756, 826, 1062, 1239, 1593, 1652, 2124, 2478, 3186, 3717, 4956, 6372, 7434, 11151, 14868, 22302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44590 and 44604. The biggest common factor number is the GCF number.
So the greatest common factor 44590 and 44604 is 14.

Also check out the Least Common Multiple of 44590 and 44604