What is the Greatest Common Factor of 72600 and 72604?

Greatest common factor (GCF) of 72600 and 72604 is 4.

GCF(72600,72604) = 4

We will now calculate the prime factors of 72600 and 72604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72600 and 72604.

How to find the GCF of 72600 and 72604?

We will first find the prime factorization of 72600 and 72604. After we will calculate the factors of 72600 and 72604 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 72604

Prime factors of 72604 are 2, 7, 2593. Prime factorization of 72604 in exponential form is:

72604 = 2² × 7¹ × 2593¹

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 72604

List of positive integer factors of 72604 that divides 72600 without a remainder.

1, 2, 4, 7, 14, 28, 2593, 5186, 10372, 18151, 36302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72600 and 72604. The biggest common factor number is the GCF number.
So the greatest common factor 72600 and 72604 is 4.

Also check out the Least Common Multiple of 72600 and 72604