What is the Greatest Common Factor of 63975 and 63985?

Greatest common factor (GCF) of 63975 and 63985 is 5.

GCF(63975,63985) = 5

We will now calculate the prime factors of 63975 and 63985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63975 and 63985.

How to find the GCF of 63975 and 63985?

We will first find the prime factorization of 63975 and 63985. After we will calculate the factors of 63975 and 63985 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63985

Prime factors of 63985 are 5, 67, 191. Prime factorization of 63985 in exponential form is:

63985 = 5¹ × 67¹ × 191¹

Step-3: Factors of 63975

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

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

Step-4: Factors of 63985

List of positive integer factors of 63985 that divides 63975 without a remainder.

1, 5, 67, 191, 335, 955, 12797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63975 and 63985. The biggest common factor number is the GCF number.
So the greatest common factor 63975 and 63985 is 5.

Also check out the Least Common Multiple of 63975 and 63985