What is the Greatest Common Factor of 63750 and 63759?

Greatest common factor (GCF) of 63750 and 63759 is 3.

GCF(63750,63759) = 3

We will now calculate the prime factors of 63750 and 63759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63750 and 63759.

How to find the GCF of 63750 and 63759?

We will first find the prime factorization of 63750 and 63759. After we will calculate the factors of 63750 and 63759 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 63759

Prime factors of 63759 are 3, 53, 401. Prime factorization of 63759 in exponential form is:

63759 = 3¹ × 53¹ × 401¹

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 63759

List of positive integer factors of 63759 that divides 63750 without a remainder.

1, 3, 53, 159, 401, 1203, 21253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63750 and 63759. The biggest common factor number is the GCF number.
So the greatest common factor 63750 and 63759 is 3.

Also check out the Least Common Multiple of 63750 and 63759