What is the Greatest Common Factor of 63772 and 63782?

Greatest common factor (GCF) of 63772 and 63782 is 2.

GCF(63772,63782) = 2

We will now calculate the prime factors of 63772 and 63782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63772 and 63782.

How to find the GCF of 63772 and 63782?

We will first find the prime factorization of 63772 and 63782. After we will calculate the factors of 63772 and 63782 and find the biggest common factor number .

Step-1: Prime Factorization of 63772

Prime factors of 63772 are 2, 107, 149. Prime factorization of 63772 in exponential form is:

63772 = 2² × 107¹ × 149¹

Step-2: Prime Factorization of 63782

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

63782 = 2¹ × 31891¹

Step-3: Factors of 63772

List of positive integer factors of 63772 that divides 63772 without a remainder.

1, 2, 4, 107, 149, 214, 298, 428, 596, 15943, 31886

Step-4: Factors of 63782

List of positive integer factors of 63782 that divides 63772 without a remainder.

1, 2, 31891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63772 and 63782. The biggest common factor number is the GCF number.
So the greatest common factor 63772 and 63782 is 2.

Also check out the Least Common Multiple of 63772 and 63782