What is the Greatest Common Factor of 59685 and 59691?

Greatest common factor (GCF) of 59685 and 59691 is 3.

GCF(59685,59691) = 3

We will now calculate the prime factors of 59685 and 59691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59685 and 59691.

How to find the GCF of 59685 and 59691?

We will first find the prime factorization of 59685 and 59691. After we will calculate the factors of 59685 and 59691 and find the biggest common factor number .

Step-1: Prime Factorization of 59685

Prime factors of 59685 are 3, 5, 23, 173. Prime factorization of 59685 in exponential form is:

59685 = 3¹ × 5¹ × 23¹ × 173¹

Step-2: Prime Factorization of 59691

Prime factors of 59691 are 3, 101, 197. Prime factorization of 59691 in exponential form is:

59691 = 3¹ × 101¹ × 197¹

Step-3: Factors of 59685

List of positive integer factors of 59685 that divides 59685 without a remainder.

1, 3, 5, 15, 23, 69, 115, 173, 345, 519, 865, 2595, 3979, 11937, 19895

Step-4: Factors of 59691

List of positive integer factors of 59691 that divides 59685 without a remainder.

1, 3, 101, 197, 303, 591, 19897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59685 and 59691. The biggest common factor number is the GCF number.
So the greatest common factor 59685 and 59691 is 3.

Also check out the Least Common Multiple of 59685 and 59691