What is the Greatest Common Factor of 94365 and 94380?

Greatest common factor (GCF) of 94365 and 94380 is 15.

GCF(94365,94380) = 15

We will now calculate the prime factors of 94365 and 94380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94365 and 94380.

How to find the GCF of 94365 and 94380?

We will first find the prime factorization of 94365 and 94380. After we will calculate the factors of 94365 and 94380 and find the biggest common factor number .

Step-1: Prime Factorization of 94365

Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:

94365 = 3⁴ × 5¹ × 233¹

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 94365

List of positive integer factors of 94365 that divides 94365 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 233, 405, 699, 1165, 2097, 3495, 6291, 10485, 18873, 31455

Step-4: Factors of 94380

List of positive integer factors of 94380 that divides 94365 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 94365 and 94380. The biggest common factor number is the GCF number.
So the greatest common factor 94365 and 94380 is 15.

Also check out the Least Common Multiple of 94365 and 94380