What is the Greatest Common Factor of 80574 and 80580?

Greatest common factor (GCF) of 80574 and 80580 is 6.

GCF(80574,80580) = 6

We will now calculate the prime factors of 80574 and 80580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80574 and 80580.

How to find the GCF of 80574 and 80580?

We will first find the prime factorization of 80574 and 80580. After we will calculate the factors of 80574 and 80580 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80580

Prime factors of 80580 are 2, 3, 5, 17, 79. Prime factorization of 80580 in exponential form is:

80580 = 2² × 3¹ × 5¹ × 17¹ × 79¹

Step-3: Factors of 80574

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

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

Step-4: Factors of 80580

List of positive integer factors of 80580 that divides 80574 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 79, 85, 102, 158, 170, 204, 237, 255, 316, 340, 395, 474, 510, 790, 948, 1020, 1185, 1343, 1580, 2370, 2686, 4029, 4740, 5372, 6715, 8058, 13430, 16116, 20145, 26860, 40290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80574 and 80580. The biggest common factor number is the GCF number.
So the greatest common factor 80574 and 80580 is 6.

Also check out the Least Common Multiple of 80574 and 80580