What is the Greatest Common Factor of 94380 and 94384?

Greatest common factor (GCF) of 94380 and 94384 is 4.

GCF(94380,94384) = 4

We will now calculate the prime factors of 94380 and 94384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94380 and 94384.

How to find the GCF of 94380 and 94384?

We will first find the prime factorization of 94380 and 94384. After we will calculate the factors of 94380 and 94384 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94384

Prime factors of 94384 are 2, 17, 347. Prime factorization of 94384 in exponential form is:

94384 = 2⁴ × 17¹ × 347¹

Step-3: Factors of 94380

List of positive integer factors of 94380 that divides 94380 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

Step-4: Factors of 94384

List of positive integer factors of 94384 that divides 94380 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 347, 694, 1388, 2776, 5552, 5899, 11798, 23596, 47192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94380 and 94384. The biggest common factor number is the GCF number.
So the greatest common factor 94380 and 94384 is 4.

Also check out the Least Common Multiple of 94380 and 94384