What is the Greatest Common Factor of 63274 and 63291?

Greatest common factor (GCF) of 63274 and 63291 is 17.

GCF(63274,63291) = 17

We will now calculate the prime factors of 63274 and 63291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63274 and 63291.

How to find the GCF of 63274 and 63291?

We will first find the prime factorization of 63274 and 63291. After we will calculate the factors of 63274 and 63291 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63291

Prime factors of 63291 are 3, 17, 73. Prime factorization of 63291 in exponential form is:

63291 = 3¹ × 17² × 73¹

Step-3: Factors of 63274

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

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

Step-4: Factors of 63291

List of positive integer factors of 63291 that divides 63274 without a remainder.

1, 3, 17, 51, 73, 219, 289, 867, 1241, 3723, 21097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63274 and 63291. The biggest common factor number is the GCF number.
So the greatest common factor 63274 and 63291 is 17.

Also check out the Least Common Multiple of 63274 and 63291