What is the Greatest Common Factor of 63264 and 63274?

Greatest common factor (GCF) of 63264 and 63274 is 2.

GCF(63264,63274) = 2

We will now calculate the prime factors of 63264 and 63274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63264 and 63274.

How to find the GCF of 63264 and 63274?

We will first find the prime factorization of 63264 and 63274. After we will calculate the factors of 63264 and 63274 and find the biggest common factor number .

Step-1: Prime Factorization of 63264

Prime factors of 63264 are 2, 3, 659. Prime factorization of 63264 in exponential form is:

63264 = 2⁵ × 3¹ × 659¹

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 63264

List of positive integer factors of 63264 that divides 63264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 659, 1318, 1977, 2636, 3954, 5272, 7908, 10544, 15816, 21088, 31632

Step-4: Factors of 63274

List of positive integer factors of 63274 that divides 63264 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63264 and 63274. The biggest common factor number is the GCF number.
So the greatest common factor 63264 and 63274 is 2.

Also check out the Least Common Multiple of 63264 and 63274