What is the Greatest Common Factor of 35679 and 35685?

Greatest common factor (GCF) of 35679 and 35685 is 3.

GCF(35679,35685) = 3

We will now calculate the prime factors of 35679 and 35685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35679 and 35685.

How to find the GCF of 35679 and 35685?

We will first find the prime factorization of 35679 and 35685. After we will calculate the factors of 35679 and 35685 and find the biggest common factor number .

Step-1: Prime Factorization of 35679

Prime factors of 35679 are 3, 7, 1699. Prime factorization of 35679 in exponential form is:

35679 = 3¹ × 7¹ × 1699¹

Step-2: Prime Factorization of 35685

Prime factors of 35685 are 3, 5, 13, 61. Prime factorization of 35685 in exponential form is:

35685 = 3² × 5¹ × 13¹ × 61¹

Step-3: Factors of 35679

List of positive integer factors of 35679 that divides 35679 without a remainder.

1, 3, 7, 21, 1699, 5097, 11893

Step-4: Factors of 35685

List of positive integer factors of 35685 that divides 35679 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 61, 65, 117, 183, 195, 305, 549, 585, 793, 915, 2379, 2745, 3965, 7137, 11895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35679 and 35685. The biggest common factor number is the GCF number.
So the greatest common factor 35679 and 35685 is 3.

Also check out the Least Common Multiple of 35679 and 35685