What is the Greatest Common Factor of 72586 and 72600?

Greatest common factor (GCF) of 72586 and 72600 is 2.

GCF(72586,72600) = 2

We will now calculate the prime factors of 72586 and 72600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72586 and 72600.

How to find the GCF of 72586 and 72600?

We will first find the prime factorization of 72586 and 72600. After we will calculate the factors of 72586 and 72600 and find the biggest common factor number .

Step-1: Prime Factorization of 72586

Prime factors of 72586 are 2, 36293. Prime factorization of 72586 in exponential form is:

72586 = 2¹ × 36293¹

Step-2: 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-3: Factors of 72586

List of positive integer factors of 72586 that divides 72586 without a remainder.

1, 2, 36293

Step-4: Factors of 72600

List of positive integer factors of 72600 that divides 72586 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72586 and 72600. The biggest common factor number is the GCF number.
So the greatest common factor 72586 and 72600 is 2.

Also check out the Least Common Multiple of 72586 and 72600