What is the Greatest Common Factor of 80562 and 80572?

Greatest common factor (GCF) of 80562 and 80572 is 2.

GCF(80562,80572) = 2

We will now calculate the prime factors of 80562 and 80572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80562 and 80572.

How to find the GCF of 80562 and 80572?

We will first find the prime factorization of 80562 and 80572. After we will calculate the factors of 80562 and 80572 and find the biggest common factor number .

Step-1: Prime Factorization of 80562

Prime factors of 80562 are 2, 3, 29, 463. Prime factorization of 80562 in exponential form is:

80562 = 2¹ × 3¹ × 29¹ × 463¹

Step-2: Prime Factorization of 80572

Prime factors of 80572 are 2, 20143. Prime factorization of 80572 in exponential form is:

80572 = 2² × 20143¹

Step-3: Factors of 80562

List of positive integer factors of 80562 that divides 80562 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 463, 926, 1389, 2778, 13427, 26854, 40281

Step-4: Factors of 80572

List of positive integer factors of 80572 that divides 80562 without a remainder.

1, 2, 4, 20143, 40286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80562 and 80572. The biggest common factor number is the GCF number.
So the greatest common factor 80562 and 80572 is 2.

Also check out the Least Common Multiple of 80562 and 80572