What is the Greatest Common Factor of 47376 and 47394?

Greatest common factor (GCF) of 47376 and 47394 is 18.

GCF(47376,47394) = 18

We will now calculate the prime factors of 47376 and 47394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47376 and 47394.

How to find the GCF of 47376 and 47394?

We will first find the prime factorization of 47376 and 47394. After we will calculate the factors of 47376 and 47394 and find the biggest common factor number .

Step-1: Prime Factorization of 47376

Prime factors of 47376 are 2, 3, 7, 47. Prime factorization of 47376 in exponential form is:

47376 = 2⁴ × 3² × 7¹ × 47¹

Step-2: Prime Factorization of 47394

Prime factors of 47394 are 2, 3, 2633. Prime factorization of 47394 in exponential form is:

47394 = 2¹ × 3² × 2633¹

Step-3: Factors of 47376

List of positive integer factors of 47376 that divides 47376 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 47, 48, 56, 63, 72, 84, 94, 112, 126, 141, 144, 168, 188, 252, 282, 329, 336, 376, 423, 504, 564, 658, 752, 846, 987, 1008, 1128, 1316, 1692, 1974, 2256, 2632, 2961, 3384, 3948, 5264, 5922, 6768, 7896, 11844, 15792, 23688

Step-4: Factors of 47394

List of positive integer factors of 47394 that divides 47376 without a remainder.

1, 2, 3, 6, 9, 18, 2633, 5266, 7899, 15798, 23697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47376 and 47394. The biggest common factor number is the GCF number.
So the greatest common factor 47376 and 47394 is 18.

Also check out the Least Common Multiple of 47376 and 47394