What is the Greatest Common Factor of 93702 and 93709?

Greatest common factor (GCF) of 93702 and 93709 is 7.

GCF(93702,93709) = 7

We will now calculate the prime factors of 93702 and 93709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93702 and 93709.

How to find the GCF of 93702 and 93709?

We will first find the prime factorization of 93702 and 93709. After we will calculate the factors of 93702 and 93709 and find the biggest common factor number .

Step-1: Prime Factorization of 93702

Prime factors of 93702 are 2, 3, 7, 23, 97. Prime factorization of 93702 in exponential form is:

93702 = 2¹ × 3¹ × 7¹ × 23¹ × 97¹

Step-2: Prime Factorization of 93709

Prime factors of 93709 are 7, 11, 1217. Prime factorization of 93709 in exponential form is:

93709 = 7¹ × 11¹ × 1217¹

Step-3: Factors of 93702

List of positive integer factors of 93702 that divides 93702 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 97, 138, 161, 194, 291, 322, 483, 582, 679, 966, 1358, 2037, 2231, 4074, 4462, 6693, 13386, 15617, 31234, 46851

Step-4: Factors of 93709

List of positive integer factors of 93709 that divides 93702 without a remainder.

1, 7, 11, 77, 1217, 8519, 13387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93702 and 93709. The biggest common factor number is the GCF number.
So the greatest common factor 93702 and 93709 is 7.

Also check out the Least Common Multiple of 93702 and 93709