What is the Greatest Common Factor of 63264 and 63278?

Greatest common factor (GCF) of 63264 and 63278 is 2.

GCF(63264,63278) = 2

We will now calculate the prime factors of 63264 and 63278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63264 and 63278.

How to find the GCF of 63264 and 63278?

We will first find the prime factorization of 63264 and 63278. After we will calculate the factors of 63264 and 63278 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 63278

Prime factors of 63278 are 2, 29, 1091. Prime factorization of 63278 in exponential form is:

63278 = 2¹ × 29¹ × 1091¹

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 63278

List of positive integer factors of 63278 that divides 63264 without a remainder.

1, 2, 29, 58, 1091, 2182, 31639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63264 and 63278. The biggest common factor number is the GCF number.
So the greatest common factor 63264 and 63278 is 2.

Also check out the Least Common Multiple of 63264 and 63278