What is the Greatest Common Factor of 94380 and 94390?

Greatest common factor (GCF) of 94380 and 94390 is 10.

GCF(94380,94390) = 10

We will now calculate the prime factors of 94380 and 94390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94380 and 94390.

How to find the GCF of 94380 and 94390?

We will first find the prime factorization of 94380 and 94390. After we will calculate the factors of 94380 and 94390 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 94390

Prime factors of 94390 are 2, 5, 9439. Prime factorization of 94390 in exponential form is:

94390 = 2¹ × 5¹ × 9439¹

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 94390

List of positive integer factors of 94390 that divides 94380 without a remainder.

1, 2, 5, 10, 9439, 18878, 47195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94380 and 94390. The biggest common factor number is the GCF number.
So the greatest common factor 94380 and 94390 is 10.

Also check out the Least Common Multiple of 94380 and 94390