What is the Greatest Common Factor of 59745 and 59757?

Greatest common factor (GCF) of 59745 and 59757 is 3.

GCF(59745,59757) = 3

We will now calculate the prime factors of 59745 and 59757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59745 and 59757.

How to find the GCF of 59745 and 59757?

We will first find the prime factorization of 59745 and 59757. After we will calculate the factors of 59745 and 59757 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59757

Prime factors of 59757 are 3, 19919. Prime factorization of 59757 in exponential form is:

59757 = 3¹ × 19919¹

Step-3: Factors of 59745

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

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

Step-4: Factors of 59757

List of positive integer factors of 59757 that divides 59745 without a remainder.

1, 3, 19919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59745 and 59757. The biggest common factor number is the GCF number.
So the greatest common factor 59745 and 59757 is 3.

Also check out the Least Common Multiple of 59745 and 59757