What is the Greatest Common Factor of 72618 and 72631?

Greatest common factor (GCF) of 72618 and 72631 is 13.

GCF(72618,72631) = 13

We will now calculate the prime factors of 72618 and 72631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72618 and 72631.

How to find the GCF of 72618 and 72631?

We will first find the prime factorization of 72618 and 72631. After we will calculate the factors of 72618 and 72631 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72631

Prime factors of 72631 are 13, 37, 151. Prime factorization of 72631 in exponential form is:

72631 = 13¹ × 37¹ × 151¹

Step-3: Factors of 72618

List of positive integer factors of 72618 that divides 72618 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

Step-4: Factors of 72631

List of positive integer factors of 72631 that divides 72618 without a remainder.

1, 13, 37, 151, 481, 1963, 5587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72618 and 72631. The biggest common factor number is the GCF number.
So the greatest common factor 72618 and 72631 is 13.

Also check out the Least Common Multiple of 72618 and 72631