What is the Greatest Common Factor of 47368 and 47376?

Greatest common factor (GCF) of 47368 and 47376 is 8.

GCF(47368,47376) = 8

We will now calculate the prime factors of 47368 and 47376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47368 and 47376.

How to find the GCF of 47368 and 47376?

We will first find the prime factorization of 47368 and 47376. After we will calculate the factors of 47368 and 47376 and find the biggest common factor number .

Step-1: Prime Factorization of 47368

Prime factors of 47368 are 2, 31, 191. Prime factorization of 47368 in exponential form is:

47368 = 2³ × 31¹ × 191¹

Step-2: 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-3: Factors of 47368

List of positive integer factors of 47368 that divides 47368 without a remainder.

1, 2, 4, 8, 31, 62, 124, 191, 248, 382, 764, 1528, 5921, 11842, 23684

Step-4: Factors of 47376

List of positive integer factors of 47376 that divides 47368 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47368 and 47376. The biggest common factor number is the GCF number.
So the greatest common factor 47368 and 47376 is 8.

Also check out the Least Common Multiple of 47368 and 47376