What is the Greatest Common Factor of 59643 and 59655?

Greatest common factor (GCF) of 59643 and 59655 is 3.

GCF(59643,59655) = 3

We will now calculate the prime factors of 59643 and 59655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59643 and 59655.

How to find the GCF of 59643 and 59655?

We will first find the prime factorization of 59643 and 59655. After we will calculate the factors of 59643 and 59655 and find the biggest common factor number .

Step-1: Prime Factorization of 59643

Prime factors of 59643 are 3, 47. Prime factorization of 59643 in exponential form is:

59643 = 3³ × 47²

Step-2: Prime Factorization of 59655

Prime factors of 59655 are 3, 5, 41, 97. Prime factorization of 59655 in exponential form is:

59655 = 3¹ × 5¹ × 41¹ × 97¹

Step-3: Factors of 59643

List of positive integer factors of 59643 that divides 59643 without a remainder.

1, 3, 9, 27, 47, 141, 423, 1269, 2209, 6627, 19881

Step-4: Factors of 59655

List of positive integer factors of 59655 that divides 59643 without a remainder.

1, 3, 5, 15, 41, 97, 123, 205, 291, 485, 615, 1455, 3977, 11931, 19885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59643 and 59655. The biggest common factor number is the GCF number.
So the greatest common factor 59643 and 59655 is 3.

Also check out the Least Common Multiple of 59643 and 59655