What is the Greatest Common Factor of 63735 and 63751?

Greatest common factor (GCF) of 63735 and 63751 is 1.

GCF(63735,63751) = 1

We will now calculate the prime factors of 63735 and 63751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63735 and 63751.

How to find the GCF of 63735 and 63751?

We will first find the prime factorization of 63735 and 63751. After we will calculate the factors of 63735 and 63751 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 63751

Prime factors of 63751 are 37, 1723. Prime factorization of 63751 in exponential form is:

63751 = 37¹ × 1723¹

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 63751

List of positive integer factors of 63751 that divides 63735 without a remainder.

1, 37, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63735 and 63751. The biggest common factor number is the GCF number.
So the greatest common factor 63735 and 63751 is 1.

Also check out the Least Common Multiple of 63735 and 63751