What is the Greatest Common Factor of 72605 and 72618?

Greatest common factor (GCF) of 72605 and 72618 is 13.

GCF(72605,72618) = 13

We will now calculate the prime factors of 72605 and 72618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72605 and 72618.

How to find the GCF of 72605 and 72618?

We will first find the prime factorization of 72605 and 72618. After we will calculate the factors of 72605 and 72618 and find the biggest common factor number .

Step-1: Prime Factorization of 72605

Prime factors of 72605 are 5, 13, 1117. Prime factorization of 72605 in exponential form is:

72605 = 5¹ × 13¹ × 1117¹

Step-2: Prime Factorization of 72618

Prime factors of 72618 are 2, 3, 7, 13, 19. Prime factorization of 72618 in exponential form is:

72618 = 2¹ × 3¹ × 7² × 13¹ × 19¹

Step-3: Factors of 72605

List of positive integer factors of 72605 that divides 72605 without a remainder.

1, 5, 13, 65, 1117, 5585, 14521

Step-4: Factors of 72618

List of positive integer factors of 72618 that divides 72605 without a remainder.

1, 2, 3, 6, 7, 13, 14, 19, 21, 26, 38, 39, 42, 49, 57, 78, 91, 98, 114, 133, 147, 182, 247, 266, 273, 294, 399, 494, 546, 637, 741, 798, 931, 1274, 1482, 1729, 1862, 1911, 2793, 3458, 3822, 5187, 5586, 10374, 12103, 24206, 36309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72605 and 72618. The biggest common factor number is the GCF number.
So the greatest common factor 72605 and 72618 is 13.

Also check out the Least Common Multiple of 72605 and 72618