What is the Greatest Common Factor of 47376 and 47392?

Greatest common factor (GCF) of 47376 and 47392 is 16.

GCF(47376,47392) = 16

We will now calculate the prime factors of 47376 and 47392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47376 and 47392.

How to find the GCF of 47376 and 47392?

We will first find the prime factorization of 47376 and 47392. After we will calculate the factors of 47376 and 47392 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 47392

Prime factors of 47392 are 2, 1481. Prime factorization of 47392 in exponential form is:

47392 = 2⁵ × 1481¹

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 47392

List of positive integer factors of 47392 that divides 47376 without a remainder.

1, 2, 4, 8, 16, 32, 1481, 2962, 5924, 11848, 23696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47376 and 47392. The biggest common factor number is the GCF number.
So the greatest common factor 47376 and 47392 is 16.

Also check out the Least Common Multiple of 47376 and 47392