What is the Greatest Common Factor of 63472 and 63488?

Greatest common factor (GCF) of 63472 and 63488 is 16.

GCF(63472,63488) = 16

We will now calculate the prime factors of 63472 and 63488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63472 and 63488.

How to find the GCF of 63472 and 63488?

We will first find the prime factorization of 63472 and 63488. After we will calculate the factors of 63472 and 63488 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 63488

Prime factors of 63488 are 2, 31. Prime factorization of 63488 in exponential form is:

63488 = 2¹¹ × 31¹

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 63488

List of positive integer factors of 63488 that divides 63472 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1024, 1984, 2048, 3968, 7936, 15872, 31744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63472 and 63488. The biggest common factor number is the GCF number.
So the greatest common factor 63472 and 63488 is 16.

Also check out the Least Common Multiple of 63472 and 63488