What is the Greatest Common Factor of 93690 and 93698?

Greatest common factor (GCF) of 93690 and 93698 is 2.

GCF(93690,93698) = 2

We will now calculate the prime factors of 93690 and 93698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93690 and 93698.

How to find the GCF of 93690 and 93698?

We will first find the prime factorization of 93690 and 93698. After we will calculate the factors of 93690 and 93698 and find the biggest common factor number .

Step-1: Prime Factorization of 93690

Prime factors of 93690 are 2, 3, 5, 347. Prime factorization of 93690 in exponential form is:

93690 = 2¹ × 3³ × 5¹ × 347¹

Step-2: Prime Factorization of 93698

Prime factors of 93698 are 2, 11, 4259. Prime factorization of 93698 in exponential form is:

93698 = 2¹ × 11¹ × 4259¹

Step-3: Factors of 93690

List of positive integer factors of 93690 that divides 93690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 347, 694, 1041, 1735, 2082, 3123, 3470, 5205, 6246, 9369, 10410, 15615, 18738, 31230, 46845

Step-4: Factors of 93698

List of positive integer factors of 93698 that divides 93690 without a remainder.

1, 2, 11, 22, 4259, 8518, 46849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93690 and 93698. The biggest common factor number is the GCF number.
So the greatest common factor 93690 and 93698 is 2.

Also check out the Least Common Multiple of 93690 and 93698