What is the Greatest Common Factor of 63735 and 63740?

Greatest common factor (GCF) of 63735 and 63740 is 5.

GCF(63735,63740) = 5

We will now calculate the prime factors of 63735 and 63740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63735 and 63740.

How to find the GCF of 63735 and 63740?

We will first find the prime factorization of 63735 and 63740. After we will calculate the factors of 63735 and 63740 and find the biggest common factor number .

Step-1: Prime Factorization of 63735

Prime factors of 63735 are 3, 5, 7, 607. Prime factorization of 63735 in exponential form is:

63735 = 3¹ × 5¹ × 7¹ × 607¹

Step-2: Prime Factorization of 63740

Prime factors of 63740 are 2, 5, 3187. Prime factorization of 63740 in exponential form is:

63740 = 2² × 5¹ × 3187¹

Step-3: Factors of 63735

List of positive integer factors of 63735 that divides 63735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 607, 1821, 3035, 4249, 9105, 12747, 21245

Step-4: Factors of 63740

List of positive integer factors of 63740 that divides 63735 without a remainder.

1, 2, 4, 5, 10, 20, 3187, 6374, 12748, 15935, 31870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63735 and 63740. The biggest common factor number is the GCF number.
So the greatest common factor 63735 and 63740 is 5.

Also check out the Least Common Multiple of 63735 and 63740