What is the Greatest Common Factor of 63257 and 63274?

Greatest common factor (GCF) of 63257 and 63274 is 17.

GCF(63257,63274) = 17

We will now calculate the prime factors of 63257 and 63274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63257 and 63274.

How to find the GCF of 63257 and 63274?

We will first find the prime factorization of 63257 and 63274. After we will calculate the factors of 63257 and 63274 and find the biggest common factor number .

Step-1: Prime Factorization of 63257

Prime factors of 63257 are 17, 61. Prime factorization of 63257 in exponential form is:

63257 = 17¹ × 61²

Step-2: Prime Factorization of 63274

Prime factors of 63274 are 2, 17, 1861. Prime factorization of 63274 in exponential form is:

63274 = 2¹ × 17¹ × 1861¹

Step-3: Factors of 63257

List of positive integer factors of 63257 that divides 63257 without a remainder.

1, 17, 61, 1037, 3721

Step-4: Factors of 63274

List of positive integer factors of 63274 that divides 63257 without a remainder.

1, 2, 17, 34, 1861, 3722, 31637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63257 and 63274. The biggest common factor number is the GCF number.
So the greatest common factor 63257 and 63274 is 17.

Also check out the Least Common Multiple of 63257 and 63274