What is the Greatest Common Factor of 72600 and 72608?

Greatest common factor (GCF) of 72600 and 72608 is 8.

GCF(72600,72608) = 8

We will now calculate the prime factors of 72600 and 72608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72600 and 72608.

How to find the GCF of 72600 and 72608?

We will first find the prime factorization of 72600 and 72608. After we will calculate the factors of 72600 and 72608 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 72608

Prime factors of 72608 are 2, 2269. Prime factorization of 72608 in exponential form is:

72608 = 2⁵ × 2269¹

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 72608

List of positive integer factors of 72608 that divides 72600 without a remainder.

1, 2, 4, 8, 16, 32, 2269, 4538, 9076, 18152, 36304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72600 and 72608. The biggest common factor number is the GCF number.
So the greatest common factor 72600 and 72608 is 8.

Also check out the Least Common Multiple of 72600 and 72608