What is the Greatest Common Factor of 63214 and 63232?

Greatest common factor (GCF) of 63214 and 63232 is 2.

GCF(63214,63232) = 2

We will now calculate the prime factors of 63214 and 63232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63214 and 63232.

How to find the GCF of 63214 and 63232?

We will first find the prime factorization of 63214 and 63232. After we will calculate the factors of 63214 and 63232 and find the biggest common factor number .

Step-1: Prime Factorization of 63214

Prime factors of 63214 are 2, 31607. Prime factorization of 63214 in exponential form is:

63214 = 2¹ × 31607¹

Step-2: Prime Factorization of 63232

Prime factors of 63232 are 2, 13, 19. Prime factorization of 63232 in exponential form is:

63232 = 2⁸ × 13¹ × 19¹

Step-3: Factors of 63214

List of positive integer factors of 63214 that divides 63214 without a remainder.

1, 2, 31607

Step-4: Factors of 63232

List of positive integer factors of 63232 that divides 63214 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 64, 76, 104, 128, 152, 208, 247, 256, 304, 416, 494, 608, 832, 988, 1216, 1664, 1976, 2432, 3328, 3952, 4864, 7904, 15808, 31616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63214 and 63232. The biggest common factor number is the GCF number.
So the greatest common factor 63214 and 63232 is 2.

Also check out the Least Common Multiple of 63214 and 63232