What is the Greatest Common Factor of 80257 and 80274?

Greatest common factor (GCF) of 80257 and 80274 is 17.

GCF(80257,80274) = 17

We will now calculate the prime factors of 80257 and 80274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80257 and 80274.

How to find the GCF of 80257 and 80274?

We will first find the prime factorization of 80257 and 80274. After we will calculate the factors of 80257 and 80274 and find the biggest common factor number .

Step-1: Prime Factorization of 80257

Prime factors of 80257 are 17, 4721. Prime factorization of 80257 in exponential form is:

80257 = 17¹ × 4721¹

Step-2: 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-3: Factors of 80257

List of positive integer factors of 80257 that divides 80257 without a remainder.

1, 17, 4721

Step-4: Factors of 80274

List of positive integer factors of 80274 that divides 80257 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80257 and 80274. The biggest common factor number is the GCF number.
So the greatest common factor 80257 and 80274 is 17.

Also check out the Least Common Multiple of 80257 and 80274