What is the Greatest Common Factor of 86380 and 86394?

Greatest common factor (GCF) of 86380 and 86394 is 14.

GCF(86380,86394) = 14

We will now calculate the prime factors of 86380 and 86394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86380 and 86394.

How to find the GCF of 86380 and 86394?

We will first find the prime factorization of 86380 and 86394. After we will calculate the factors of 86380 and 86394 and find the biggest common factor number .

Step-1: Prime Factorization of 86380

Prime factors of 86380 are 2, 5, 7, 617. Prime factorization of 86380 in exponential form is:

86380 = 2² × 5¹ × 7¹ × 617¹

Step-2: Prime Factorization of 86394

Prime factors of 86394 are 2, 3, 7, 11, 17. Prime factorization of 86394 in exponential form is:

86394 = 2¹ × 3¹ × 7¹ × 11² × 17¹

Step-3: Factors of 86380

List of positive integer factors of 86380 that divides 86380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 617, 1234, 2468, 3085, 4319, 6170, 8638, 12340, 17276, 21595, 43190

Step-4: Factors of 86394

List of positive integer factors of 86394 that divides 86380 without a remainder.

1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 121, 154, 187, 231, 238, 242, 357, 363, 374, 462, 561, 714, 726, 847, 1122, 1309, 1694, 2057, 2541, 2618, 3927, 4114, 5082, 6171, 7854, 12342, 14399, 28798, 43197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86380 and 86394. The biggest common factor number is the GCF number.
So the greatest common factor 86380 and 86394 is 14.

Also check out the Least Common Multiple of 86380 and 86394