What is the Greatest Common Factor of 63735 and 63741?

Greatest common factor (GCF) of 63735 and 63741 is 3.

GCF(63735,63741) = 3

We will now calculate the prime factors of 63735 and 63741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63735 and 63741.

How to find the GCF of 63735 and 63741?

We will first find the prime factorization of 63735 and 63741. After we will calculate the factors of 63735 and 63741 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 63741

Prime factors of 63741 are 3, 21247. Prime factorization of 63741 in exponential form is:

63741 = 3¹ × 21247¹

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 63741

List of positive integer factors of 63741 that divides 63735 without a remainder.

1, 3, 21247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63735 and 63741. The biggest common factor number is the GCF number.
So the greatest common factor 63735 and 63741 is 3.

Also check out the Least Common Multiple of 63735 and 63741