What is the Greatest Common Factor of 80552 and 80562?

Greatest common factor (GCF) of 80552 and 80562 is 2.

GCF(80552,80562) = 2

We will now calculate the prime factors of 80552 and 80562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80552 and 80562.

How to find the GCF of 80552 and 80562?

We will first find the prime factorization of 80552 and 80562. After we will calculate the factors of 80552 and 80562 and find the biggest common factor number .

Step-1: Prime Factorization of 80552

Prime factors of 80552 are 2, 10069. Prime factorization of 80552 in exponential form is:

80552 = 2³ × 10069¹

Step-2: 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-3: Factors of 80552

List of positive integer factors of 80552 that divides 80552 without a remainder.

1, 2, 4, 8, 10069, 20138, 40276

Step-4: Factors of 80562

List of positive integer factors of 80562 that divides 80552 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80552 and 80562. The biggest common factor number is the GCF number.
So the greatest common factor 80552 and 80562 is 2.

Also check out the Least Common Multiple of 80552 and 80562