What is the Greatest Common Factor of 63472 and 63478?

Greatest common factor (GCF) of 63472 and 63478 is 2.

GCF(63472,63478) = 2

We will now calculate the prime factors of 63472 and 63478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63472 and 63478.

How to find the GCF of 63472 and 63478?

We will first find the prime factorization of 63472 and 63478. After we will calculate the factors of 63472 and 63478 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 63478

Prime factors of 63478 are 2, 17, 1867. Prime factorization of 63478 in exponential form is:

63478 = 2¹ × 17¹ × 1867¹

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 63478

List of positive integer factors of 63478 that divides 63472 without a remainder.

1, 2, 17, 34, 1867, 3734, 31739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63472 and 63478. The biggest common factor number is the GCF number.
So the greatest common factor 63472 and 63478 is 2.

Also check out the Least Common Multiple of 63472 and 63478