What is the Greatest Common Factor of 63212 and 63232?

Greatest common factor (GCF) of 63212 and 63232 is 4.

GCF(63212,63232) = 4

We will now calculate the prime factors of 63212 and 63232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63212 and 63232.

How to find the GCF of 63212 and 63232?

We will first find the prime factorization of 63212 and 63232. After we will calculate the factors of 63212 and 63232 and find the biggest common factor number .

Step-1: Prime Factorization of 63212

Prime factors of 63212 are 2, 15803. Prime factorization of 63212 in exponential form is:

63212 = 2² × 15803¹

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 63212

List of positive integer factors of 63212 that divides 63212 without a remainder.

1, 2, 4, 15803, 31606

Step-4: Factors of 63232

List of positive integer factors of 63232 that divides 63212 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 63212 and 63232. The biggest common factor number is the GCF number.
So the greatest common factor 63212 and 63232 is 4.

Also check out the Least Common Multiple of 63212 and 63232