What is the Greatest Common Factor of 80274 and 80291?

Greatest common factor (GCF) of 80274 and 80291 is 17.

GCF(80274,80291) = 17

We will now calculate the prime factors of 80274 and 80291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80274 and 80291.

How to find the GCF of 80274 and 80291?

We will first find the prime factorization of 80274 and 80291. After we will calculate the factors of 80274 and 80291 and find the biggest common factor number .

Step-1: Prime Factorization of 80274

Prime factors of 80274 are 2, 3, 17, 787. Prime factorization of 80274 in exponential form is:

80274 = 2¹ × 3¹ × 17¹ × 787¹

Step-2: Prime Factorization of 80291

Prime factors of 80291 are 17, 4723. Prime factorization of 80291 in exponential form is:

80291 = 17¹ × 4723¹

Step-3: Factors of 80274

List of positive integer factors of 80274 that divides 80274 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 787, 1574, 2361, 4722, 13379, 26758, 40137

Step-4: Factors of 80291

List of positive integer factors of 80291 that divides 80274 without a remainder.

1, 17, 4723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80274 and 80291. The biggest common factor number is the GCF number.
So the greatest common factor 80274 and 80291 is 17.

Also check out the Least Common Multiple of 80274 and 80291