What is the Greatest Common Factor of 63755 and 63765?

Greatest common factor (GCF) of 63755 and 63765 is 5.

GCF(63755,63765) = 5

We will now calculate the prime factors of 63755 and 63765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63755 and 63765.

How to find the GCF of 63755 and 63765?

We will first find the prime factorization of 63755 and 63765. After we will calculate the factors of 63755 and 63765 and find the biggest common factor number .

Step-1: Prime Factorization of 63755

Prime factors of 63755 are 5, 41, 311. Prime factorization of 63755 in exponential form is:

63755 = 5¹ × 41¹ × 311¹

Step-2: Prime Factorization of 63765

Prime factors of 63765 are 3, 5, 13, 109. Prime factorization of 63765 in exponential form is:

63765 = 3² × 5¹ × 13¹ × 109¹

Step-3: Factors of 63755

List of positive integer factors of 63755 that divides 63755 without a remainder.

1, 5, 41, 205, 311, 1555, 12751

Step-4: Factors of 63765

List of positive integer factors of 63765 that divides 63755 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 109, 117, 195, 327, 545, 585, 981, 1417, 1635, 4251, 4905, 7085, 12753, 21255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63755 and 63765. The biggest common factor number is the GCF number.
So the greatest common factor 63755 and 63765 is 5.

Also check out the Least Common Multiple of 63755 and 63765