What is the Greatest Common Factor of 63754 and 63772?

Greatest common factor (GCF) of 63754 and 63772 is 2.

GCF(63754,63772) = 2

We will now calculate the prime factors of 63754 and 63772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63754 and 63772.

How to find the GCF of 63754 and 63772?

We will first find the prime factorization of 63754 and 63772. After we will calculate the factors of 63754 and 63772 and find the biggest common factor number .

Step-1: Prime Factorization of 63754

Prime factors of 63754 are 2, 127, 251. Prime factorization of 63754 in exponential form is:

63754 = 2¹ × 127¹ × 251¹

Step-2: 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-3: Factors of 63754

List of positive integer factors of 63754 that divides 63754 without a remainder.

1, 2, 127, 251, 254, 502, 31877

Step-4: Factors of 63772

List of positive integer factors of 63772 that divides 63754 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63754 and 63772. The biggest common factor number is the GCF number.
So the greatest common factor 63754 and 63772 is 2.

Also check out the Least Common Multiple of 63754 and 63772