What is the Greatest Common Factor of 63736 and 63749?

Greatest common factor (GCF) of 63736 and 63749 is 1.

GCF(63736,63749) = 1

We will now calculate the prime factors of 63736 and 63749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63736 and 63749.

How to find the GCF of 63736 and 63749?

We will first find the prime factorization of 63736 and 63749. After we will calculate the factors of 63736 and 63749 and find the biggest common factor number .

Step-1: Prime Factorization of 63736

Prime factors of 63736 are 2, 31, 257. Prime factorization of 63736 in exponential form is:

63736 = 2³ × 31¹ × 257¹

Step-2: Prime Factorization of 63749

Prime factors of 63749 are 7, 1301. Prime factorization of 63749 in exponential form is:

63749 = 7² × 1301¹

Step-3: Factors of 63736

List of positive integer factors of 63736 that divides 63736 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 257, 514, 1028, 2056, 7967, 15934, 31868

Step-4: Factors of 63749

List of positive integer factors of 63749 that divides 63736 without a remainder.

1, 7, 49, 1301, 9107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63736 and 63749. The biggest common factor number is the GCF number.
So the greatest common factor 63736 and 63749 is 1.

Also check out the Least Common Multiple of 63736 and 63749