What is the Greatest Common Factor of 44604 and 44618?

Greatest common factor (GCF) of 44604 and 44618 is 14.

GCF(44604,44618) = 14

We will now calculate the prime factors of 44604 and 44618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44604 and 44618.

How to find the GCF of 44604 and 44618?

We will first find the prime factorization of 44604 and 44618. After we will calculate the factors of 44604 and 44618 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44618

Prime factors of 44618 are 2, 7, 3187. Prime factorization of 44618 in exponential form is:

44618 = 2¹ × 7¹ × 3187¹

Step-3: Factors of 44604

List of positive integer factors of 44604 that divides 44604 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

Step-4: Factors of 44618

List of positive integer factors of 44618 that divides 44604 without a remainder.

1, 2, 7, 14, 3187, 6374, 22309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44604 and 44618. The biggest common factor number is the GCF number.
So the greatest common factor 44604 and 44618 is 14.

Also check out the Least Common Multiple of 44604 and 44618