What is the Greatest Common Factor of 59739 and 59745?

Greatest common factor (GCF) of 59739 and 59745 is 3.

GCF(59739,59745) = 3

We will now calculate the prime factors of 59739 and 59745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59739 and 59745.

How to find the GCF of 59739 and 59745?

We will first find the prime factorization of 59739 and 59745. After we will calculate the factors of 59739 and 59745 and find the biggest common factor number .

Step-1: Prime Factorization of 59739

Prime factors of 59739 are 3, 19913. Prime factorization of 59739 in exponential form is:

59739 = 3¹ × 19913¹

Step-2: Prime Factorization of 59745

Prime factors of 59745 are 3, 5, 7, 569. Prime factorization of 59745 in exponential form is:

59745 = 3¹ × 5¹ × 7¹ × 569¹

Step-3: Factors of 59739

List of positive integer factors of 59739 that divides 59739 without a remainder.

1, 3, 19913

Step-4: Factors of 59745

List of positive integer factors of 59745 that divides 59739 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 569, 1707, 2845, 3983, 8535, 11949, 19915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59739 and 59745. The biggest common factor number is the GCF number.
So the greatest common factor 59739 and 59745 is 3.

Also check out the Least Common Multiple of 59739 and 59745