What is the Greatest Common Factor of 63782 and 63794?

Greatest common factor (GCF) of 63782 and 63794 is 2.

GCF(63782,63794) = 2

We will now calculate the prime factors of 63782 and 63794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63782 and 63794.

How to find the GCF of 63782 and 63794?

We will first find the prime factorization of 63782 and 63794. After we will calculate the factors of 63782 and 63794 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 63794

Prime factors of 63794 are 2, 167, 191. Prime factorization of 63794 in exponential form is:

63794 = 2¹ × 167¹ × 191¹

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 63794

List of positive integer factors of 63794 that divides 63782 without a remainder.

1, 2, 167, 191, 334, 382, 31897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63782 and 63794. The biggest common factor number is the GCF number.
So the greatest common factor 63782 and 63794 is 2.

Also check out the Least Common Multiple of 63782 and 63794