What is the Greatest Common Factor of 59686 and 59690?

Greatest common factor (GCF) of 59686 and 59690 is 2.

GCF(59686,59690) = 2

We will now calculate the prime factors of 59686 and 59690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59686 and 59690.

How to find the GCF of 59686 and 59690?

We will first find the prime factorization of 59686 and 59690. After we will calculate the factors of 59686 and 59690 and find the biggest common factor number .

Step-1: Prime Factorization of 59686

Prime factors of 59686 are 2, 11, 2713. Prime factorization of 59686 in exponential form is:

59686 = 2¹ × 11¹ × 2713¹

Step-2: Prime Factorization of 59690

Prime factors of 59690 are 2, 5, 47, 127. Prime factorization of 59690 in exponential form is:

59690 = 2¹ × 5¹ × 47¹ × 127¹

Step-3: Factors of 59686

List of positive integer factors of 59686 that divides 59686 without a remainder.

1, 2, 11, 22, 2713, 5426, 29843

Step-4: Factors of 59690

List of positive integer factors of 59690 that divides 59686 without a remainder.

1, 2, 5, 10, 47, 94, 127, 235, 254, 470, 635, 1270, 5969, 11938, 29845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59686 and 59690. The biggest common factor number is the GCF number.
So the greatest common factor 59686 and 59690 is 2.

Also check out the Least Common Multiple of 59686 and 59690