What is the Greatest Common Factor of 63314 and 63332?

Greatest common factor (GCF) of 63314 and 63332 is 2.

GCF(63314,63332) = 2

We will now calculate the prime factors of 63314 and 63332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63314 and 63332.

How to find the GCF of 63314 and 63332?

We will first find the prime factorization of 63314 and 63332. After we will calculate the factors of 63314 and 63332 and find the biggest common factor number .

Step-1: Prime Factorization of 63314

Prime factors of 63314 are 2, 31657. Prime factorization of 63314 in exponential form is:

63314 = 2¹ × 31657¹

Step-2: Prime Factorization of 63332

Prime factors of 63332 are 2, 71, 223. Prime factorization of 63332 in exponential form is:

63332 = 2² × 71¹ × 223¹

Step-3: Factors of 63314

List of positive integer factors of 63314 that divides 63314 without a remainder.

1, 2, 31657

Step-4: Factors of 63332

List of positive integer factors of 63332 that divides 63314 without a remainder.

1, 2, 4, 71, 142, 223, 284, 446, 892, 15833, 31666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63314 and 63332. The biggest common factor number is the GCF number.
So the greatest common factor 63314 and 63332 is 2.

Also check out the Least Common Multiple of 63314 and 63332