What is the Greatest Common Factor of 63960 and 63975?

Greatest common factor (GCF) of 63960 and 63975 is 15.

GCF(63960,63975) = 15

We will now calculate the prime factors of 63960 and 63975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63960 and 63975.

How to find the GCF of 63960 and 63975?

We will first find the prime factorization of 63960 and 63975. After we will calculate the factors of 63960 and 63975 and find the biggest common factor number .

Step-1: Prime Factorization of 63960

Prime factors of 63960 are 2, 3, 5, 13, 41. Prime factorization of 63960 in exponential form is:

63960 = 2³ × 3¹ × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 63975

Prime factors of 63975 are 3, 5, 853. Prime factorization of 63975 in exponential form is:

63975 = 3¹ × 5² × 853¹

Step-3: Factors of 63960

List of positive integer factors of 63960 that divides 63960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 41, 52, 60, 65, 78, 82, 104, 120, 123, 130, 156, 164, 195, 205, 246, 260, 312, 328, 390, 410, 492, 520, 533, 615, 780, 820, 984, 1066, 1230, 1560, 1599, 1640, 2132, 2460, 2665, 3198, 4264, 4920, 5330, 6396, 7995, 10660, 12792, 15990, 21320, 31980

Step-4: Factors of 63975

List of positive integer factors of 63975 that divides 63960 without a remainder.

1, 3, 5, 15, 25, 75, 853, 2559, 4265, 12795, 21325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63960 and 63975. The biggest common factor number is the GCF number.
So the greatest common factor 63960 and 63975 is 15.

Also check out the Least Common Multiple of 63960 and 63975