What is the Greatest Common Factor of 63750 and 63765?

Greatest common factor (GCF) of 63750 and 63765 is 15.

GCF(63750,63765) = 15

We will now calculate the prime factors of 63750 and 63765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63750 and 63765.

How to find the GCF of 63750 and 63765?

We will first find the prime factorization of 63750 and 63765. After we will calculate the factors of 63750 and 63765 and find the biggest common factor number .

Step-1: Prime Factorization of 63750

Prime factors of 63750 are 2, 3, 5, 17. Prime factorization of 63750 in exponential form is:

63750 = 2¹ × 3¹ × 5⁴ × 17¹

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 63750

List of positive integer factors of 63750 that divides 63750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 125, 150, 170, 250, 255, 375, 425, 510, 625, 750, 850, 1250, 1275, 1875, 2125, 2550, 3750, 4250, 6375, 10625, 12750, 21250, 31875

Step-4: Factors of 63765

List of positive integer factors of 63765 that divides 63750 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 63750 and 63765. The biggest common factor number is the GCF number.
So the greatest common factor 63750 and 63765 is 15.

Also check out the Least Common Multiple of 63750 and 63765