What is the Greatest Common Factor of 63772 and 63788?

Greatest common factor (GCF) of 63772 and 63788 is 4.

GCF(63772,63788) = 4

We will now calculate the prime factors of 63772 and 63788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63772 and 63788.

How to find the GCF of 63772 and 63788?

We will first find the prime factorization of 63772 and 63788. After we will calculate the factors of 63772 and 63788 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 63788

Prime factors of 63788 are 2, 37, 431. Prime factorization of 63788 in exponential form is:

63788 = 2² × 37¹ × 431¹

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 63788

List of positive integer factors of 63788 that divides 63772 without a remainder.

1, 2, 4, 37, 74, 148, 431, 862, 1724, 15947, 31894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63772 and 63788. The biggest common factor number is the GCF number.
So the greatest common factor 63772 and 63788 is 4.

Also check out the Least Common Multiple of 63772 and 63788