What is the Greatest Common Factor of 63735 and 63745?

Greatest common factor (GCF) of 63735 and 63745 is 5.

GCF(63735,63745) = 5

We will now calculate the prime factors of 63735 and 63745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63735 and 63745.

How to find the GCF of 63735 and 63745?

We will first find the prime factorization of 63735 and 63745. After we will calculate the factors of 63735 and 63745 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 63745

Prime factors of 63745 are 5, 11, 19, 61. Prime factorization of 63745 in exponential form is:

63745 = 5¹ × 11¹ × 19¹ × 61¹

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 63745

List of positive integer factors of 63745 that divides 63735 without a remainder.

1, 5, 11, 19, 55, 61, 95, 209, 305, 671, 1045, 1159, 3355, 5795, 12749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63735 and 63745. The biggest common factor number is the GCF number.
So the greatest common factor 63735 and 63745 is 5.

Also check out the Least Common Multiple of 63735 and 63745