What is the Greatest Common Factor of 57698 and 57715?

Greatest common factor (GCF) of 57698 and 57715 is 17.

GCF(57698,57715) = 17

We will now calculate the prime factors of 57698 and 57715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57698 and 57715.

How to find the GCF of 57698 and 57715?

We will first find the prime factorization of 57698 and 57715. After we will calculate the factors of 57698 and 57715 and find the biggest common factor number .

Step-1: Prime Factorization of 57698

Prime factors of 57698 are 2, 17, 1697. Prime factorization of 57698 in exponential form is:

57698 = 2¹ × 17¹ × 1697¹

Step-2: Prime Factorization of 57715

Prime factors of 57715 are 5, 7, 17, 97. Prime factorization of 57715 in exponential form is:

57715 = 5¹ × 7¹ × 17¹ × 97¹

Step-3: Factors of 57698

List of positive integer factors of 57698 that divides 57698 without a remainder.

1, 2, 17, 34, 1697, 3394, 28849

Step-4: Factors of 57715

List of positive integer factors of 57715 that divides 57698 without a remainder.

1, 5, 7, 17, 35, 85, 97, 119, 485, 595, 679, 1649, 3395, 8245, 11543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57698 and 57715. The biggest common factor number is the GCF number.
So the greatest common factor 57698 and 57715 is 17.

Also check out the Least Common Multiple of 57698 and 57715