What is the Greatest Common Factor of 93660 and 93674?

Greatest common factor (GCF) of 93660 and 93674 is 14.

GCF(93660,93674) = 14

We will now calculate the prime factors of 93660 and 93674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93660 and 93674.

How to find the GCF of 93660 and 93674?

We will first find the prime factorization of 93660 and 93674. After we will calculate the factors of 93660 and 93674 and find the biggest common factor number .

Step-1: Prime Factorization of 93660

Prime factors of 93660 are 2, 3, 5, 7, 223. Prime factorization of 93660 in exponential form is:

93660 = 2² × 3¹ × 5¹ × 7¹ × 223¹

Step-2: Prime Factorization of 93674

Prime factors of 93674 are 2, 7, 6691. Prime factorization of 93674 in exponential form is:

93674 = 2¹ × 7¹ × 6691¹

Step-3: Factors of 93660

List of positive integer factors of 93660 that divides 93660 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 223, 420, 446, 669, 892, 1115, 1338, 1561, 2230, 2676, 3122, 3345, 4460, 4683, 6244, 6690, 7805, 9366, 13380, 15610, 18732, 23415, 31220, 46830

Step-4: Factors of 93674

List of positive integer factors of 93674 that divides 93660 without a remainder.

1, 2, 7, 14, 6691, 13382, 46837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93660 and 93674. The biggest common factor number is the GCF number.
So the greatest common factor 93660 and 93674 is 14.

Also check out the Least Common Multiple of 93660 and 93674