What is the Greatest Common Factor of 72600 and 72606?

Greatest common factor (GCF) of 72600 and 72606 is 6.

GCF(72600,72606) = 6

We will now calculate the prime factors of 72600 and 72606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72600 and 72606.

How to find the GCF of 72600 and 72606?

We will first find the prime factorization of 72600 and 72606. After we will calculate the factors of 72600 and 72606 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 72606

Prime factors of 72606 are 2, 3, 12101. Prime factorization of 72606 in exponential form is:

72606 = 2¹ × 3¹ × 12101¹

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 72606

List of positive integer factors of 72606 that divides 72600 without a remainder.

1, 2, 3, 6, 12101, 24202, 36303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72600 and 72606. The biggest common factor number is the GCF number.
So the greatest common factor 72600 and 72606 is 6.

Also check out the Least Common Multiple of 72600 and 72606