What is the Greatest Common Factor of 47376 and 47389?

Greatest common factor (GCF) of 47376 and 47389 is 1.

GCF(47376,47389) = 1

We will now calculate the prime factors of 47376 and 47389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47376 and 47389.

How to find the GCF of 47376 and 47389?

We will first find the prime factorization of 47376 and 47389. After we will calculate the factors of 47376 and 47389 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 47389

Prime factors of 47389 are 47389. Prime factorization of 47389 in exponential form is:

47389 = 47389¹

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 47389

List of positive integer factors of 47389 that divides 47376 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47376 and 47389. The biggest common factor number is the GCF number.
So the greatest common factor 47376 and 47389 is 1.

Also check out the Least Common Multiple of 47376 and 47389