What is the Greatest Common Factor of 72566 and 72580?

Greatest common factor (GCF) of 72566 and 72580 is 2.

GCF(72566,72580) = 2

We will now calculate the prime factors of 72566 and 72580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72566 and 72580.

How to find the GCF of 72566 and 72580?

We will first find the prime factorization of 72566 and 72580. After we will calculate the factors of 72566 and 72580 and find the biggest common factor number .

Step-1: Prime Factorization of 72566

Prime factors of 72566 are 2, 13, 2791. Prime factorization of 72566 in exponential form is:

72566 = 2¹ × 13¹ × 2791¹

Step-2: Prime Factorization of 72580

Prime factors of 72580 are 2, 5, 19, 191. Prime factorization of 72580 in exponential form is:

72580 = 2² × 5¹ × 19¹ × 191¹

Step-3: Factors of 72566

List of positive integer factors of 72566 that divides 72566 without a remainder.

1, 2, 13, 26, 2791, 5582, 36283

Step-4: Factors of 72580

List of positive integer factors of 72580 that divides 72566 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 191, 380, 382, 764, 955, 1910, 3629, 3820, 7258, 14516, 18145, 36290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72566 and 72580. The biggest common factor number is the GCF number.
So the greatest common factor 72566 and 72580 is 2.

Also check out the Least Common Multiple of 72566 and 72580