What is the Greatest Common Factor of 63472 and 63484?

Greatest common factor (GCF) of 63472 and 63484 is 4.

GCF(63472,63484) = 4

We will now calculate the prime factors of 63472 and 63484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63472 and 63484.

How to find the GCF of 63472 and 63484?

We will first find the prime factorization of 63472 and 63484. After we will calculate the factors of 63472 and 63484 and find the biggest common factor number .

Step-1: Prime Factorization of 63472

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

63472 = 2⁴ × 3967¹

Step-2: Prime Factorization of 63484

Prime factors of 63484 are 2, 59, 269. Prime factorization of 63484 in exponential form is:

63484 = 2² × 59¹ × 269¹

Step-3: Factors of 63472

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

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

Step-4: Factors of 63484

List of positive integer factors of 63484 that divides 63472 without a remainder.

1, 2, 4, 59, 118, 236, 269, 538, 1076, 15871, 31742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63472 and 63484. The biggest common factor number is the GCF number.
So the greatest common factor 63472 and 63484 is 4.

Also check out the Least Common Multiple of 63472 and 63484