What is the Greatest Common Factor of 72548 and 72566?

Greatest common factor (GCF) of 72548 and 72566 is 2.

GCF(72548,72566) = 2

We will now calculate the prime factors of 72548 and 72566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72548 and 72566.

How to find the GCF of 72548 and 72566?

We will first find the prime factorization of 72548 and 72566. After we will calculate the factors of 72548 and 72566 and find the biggest common factor number .

Step-1: Prime Factorization of 72548

Prime factors of 72548 are 2, 7, 2591. Prime factorization of 72548 in exponential form is:

72548 = 2² × 7¹ × 2591¹

Step-2: 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-3: Factors of 72548

List of positive integer factors of 72548 that divides 72548 without a remainder.

1, 2, 4, 7, 14, 28, 2591, 5182, 10364, 18137, 36274

Step-4: Factors of 72566

List of positive integer factors of 72566 that divides 72548 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72548 and 72566. The biggest common factor number is the GCF number.
So the greatest common factor 72548 and 72566 is 2.

Also check out the Least Common Multiple of 72548 and 72566