What is the Greatest Common Factor of 94367 and 94380?

Greatest common factor (GCF) of 94367 and 94380 is 13.

GCF(94367,94380) = 13

We will now calculate the prime factors of 94367 and 94380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94367 and 94380.

How to find the GCF of 94367 and 94380?

We will first find the prime factorization of 94367 and 94380. After we will calculate the factors of 94367 and 94380 and find the biggest common factor number .

Step-1: Prime Factorization of 94367

Prime factors of 94367 are 7, 13, 17, 61. Prime factorization of 94367 in exponential form is:

94367 = 7¹ × 13¹ × 17¹ × 61¹

Step-2: Prime Factorization of 94380

Prime factors of 94380 are 2, 3, 5, 11, 13. Prime factorization of 94380 in exponential form is:

94380 = 2² × 3¹ × 5¹ × 11² × 13¹

Step-3: Factors of 94367

List of positive integer factors of 94367 that divides 94367 without a remainder.

1, 7, 13, 17, 61, 91, 119, 221, 427, 793, 1037, 1547, 5551, 7259, 13481

Step-4: Factors of 94380

List of positive integer factors of 94380 that divides 94367 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 121, 130, 132, 143, 156, 165, 195, 220, 242, 260, 286, 330, 363, 390, 429, 484, 572, 605, 660, 715, 726, 780, 858, 1210, 1430, 1452, 1573, 1716, 1815, 2145, 2420, 2860, 3146, 3630, 4290, 4719, 6292, 7260, 7865, 8580, 9438, 15730, 18876, 23595, 31460, 47190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94367 and 94380. The biggest common factor number is the GCF number.
So the greatest common factor 94367 and 94380 is 13.

Also check out the Least Common Multiple of 94367 and 94380