What is the Greatest Common Factor of 63782 and 63792?

Greatest common factor (GCF) of 63782 and 63792 is 2.

GCF(63782,63792) = 2

We will now calculate the prime factors of 63782 and 63792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63782 and 63792.

How to find the GCF of 63782 and 63792?

We will first find the prime factorization of 63782 and 63792. After we will calculate the factors of 63782 and 63792 and find the biggest common factor number .

Step-1: Prime Factorization of 63782

Prime factors of 63782 are 2, 31891. Prime factorization of 63782 in exponential form is:

63782 = 2¹ × 31891¹

Step-2: Prime Factorization of 63792

Prime factors of 63792 are 2, 3, 443. Prime factorization of 63792 in exponential form is:

63792 = 2⁴ × 3² × 443¹

Step-3: Factors of 63782

List of positive integer factors of 63782 that divides 63782 without a remainder.

1, 2, 31891

Step-4: Factors of 63792

List of positive integer factors of 63792 that divides 63782 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 443, 886, 1329, 1772, 2658, 3544, 3987, 5316, 7088, 7974, 10632, 15948, 21264, 31896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63782 and 63792. The biggest common factor number is the GCF number.
So the greatest common factor 63782 and 63792 is 2.

Also check out the Least Common Multiple of 63782 and 63792