What is the Greatest Common Factor of 72600 and 72618?

Greatest common factor (GCF) of 72600 and 72618 is 6.

GCF(72600,72618) = 6

We will now calculate the prime factors of 72600 and 72618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72600 and 72618.

How to find the GCF of 72600 and 72618?

We will first find the prime factorization of 72600 and 72618. After we will calculate the factors of 72600 and 72618 and find the biggest common factor number .

Step-1: Prime Factorization of 72600

Prime factors of 72600 are 2, 3, 5, 11. Prime factorization of 72600 in exponential form is:

72600 = 2³ × 3¹ × 5² × 11²

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 72600

List of positive integer factors of 72600 that divides 72600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 121, 132, 150, 165, 200, 220, 242, 264, 275, 300, 330, 363, 440, 484, 550, 600, 605, 660, 726, 825, 968, 1100, 1210, 1320, 1452, 1650, 1815, 2200, 2420, 2904, 3025, 3300, 3630, 4840, 6050, 6600, 7260, 9075, 12100, 14520, 18150, 24200, 36300

Step-4: Factors of 72618

List of positive integer factors of 72618 that divides 72600 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 72600 and 72618. The biggest common factor number is the GCF number.
So the greatest common factor 72600 and 72618 is 6.

Also check out the Least Common Multiple of 72600 and 72618