What is the Greatest Common Factor of 47376 and 47393?

Greatest common factor (GCF) of 47376 and 47393 is 1.

GCF(47376,47393) = 1

We will now calculate the prime factors of 47376 and 47393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47376 and 47393.

How to find the GCF of 47376 and 47393?

We will first find the prime factorization of 47376 and 47393. After we will calculate the factors of 47376 and 47393 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 47393

Prime factors of 47393 are 83, 571. Prime factorization of 47393 in exponential form is:

47393 = 83¹ × 571¹

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 47393

List of positive integer factors of 47393 that divides 47376 without a remainder.

1, 83, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47376 and 47393. The biggest common factor number is the GCF number.
So the greatest common factor 47376 and 47393 is 1.

Also check out the Least Common Multiple of 47376 and 47393