What is the Greatest Common Factor of 80570 and 80584?

Greatest common factor (GCF) of 80570 and 80584 is 14.

GCF(80570,80584) = 14

We will now calculate the prime factors of 80570 and 80584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80570 and 80584.

How to find the GCF of 80570 and 80584?

We will first find the prime factorization of 80570 and 80584. After we will calculate the factors of 80570 and 80584 and find the biggest common factor number .

Step-1: Prime Factorization of 80570

Prime factors of 80570 are 2, 5, 7, 1151. Prime factorization of 80570 in exponential form is:

80570 = 2¹ × 5¹ × 7¹ × 1151¹

Step-2: Prime Factorization of 80584

Prime factors of 80584 are 2, 7, 1439. Prime factorization of 80584 in exponential form is:

80584 = 2³ × 7¹ × 1439¹

Step-3: Factors of 80570

List of positive integer factors of 80570 that divides 80570 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1151, 2302, 5755, 8057, 11510, 16114, 40285

Step-4: Factors of 80584

List of positive integer factors of 80584 that divides 80570 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1439, 2878, 5756, 10073, 11512, 20146, 40292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80570 and 80584. The biggest common factor number is the GCF number.
So the greatest common factor 80570 and 80584 is 14.

Also check out the Least Common Multiple of 80570 and 80584