What is the Greatest Common Factor of 63454 and 63472?

Greatest common factor (GCF) of 63454 and 63472 is 2.

GCF(63454,63472) = 2

We will now calculate the prime factors of 63454 and 63472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63454 and 63472.

How to find the GCF of 63454 and 63472?

We will first find the prime factorization of 63454 and 63472. After we will calculate the factors of 63454 and 63472 and find the biggest common factor number .

Step-1: Prime Factorization of 63454

Prime factors of 63454 are 2, 31727. Prime factorization of 63454 in exponential form is:

63454 = 2¹ × 31727¹

Step-2: Prime Factorization of 63472

Prime factors of 63472 are 2, 3967. Prime factorization of 63472 in exponential form is:

63472 = 2⁴ × 3967¹

Step-3: Factors of 63454

List of positive integer factors of 63454 that divides 63454 without a remainder.

1, 2, 31727

Step-4: Factors of 63472

List of positive integer factors of 63472 that divides 63454 without a remainder.

1, 2, 4, 8, 16, 3967, 7934, 15868, 31736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63454 and 63472. The biggest common factor number is the GCF number.
So the greatest common factor 63454 and 63472 is 2.

Also check out the Least Common Multiple of 63454 and 63472