What is the Greatest Common Factor of 80562 and 80574?

Greatest common factor (GCF) of 80562 and 80574 is 6.

GCF(80562,80574) = 6

We will now calculate the prime factors of 80562 and 80574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80562 and 80574.

How to find the GCF of 80562 and 80574?

We will first find the prime factorization of 80562 and 80574. After we will calculate the factors of 80562 and 80574 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 80574

Prime factors of 80574 are 2, 3, 13, 1033. Prime factorization of 80574 in exponential form is:

80574 = 2¹ × 3¹ × 13¹ × 1033¹

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 80574

List of positive integer factors of 80574 that divides 80562 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1033, 2066, 3099, 6198, 13429, 26858, 40287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80562 and 80574. The biggest common factor number is the GCF number.
So the greatest common factor 80562 and 80574 is 6.

Also check out the Least Common Multiple of 80562 and 80574