What is the Greatest Common Factor of 47360 and 47376?

Greatest common factor (GCF) of 47360 and 47376 is 16.

GCF(47360,47376) = 16

We will now calculate the prime factors of 47360 and 47376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47360 and 47376.

How to find the GCF of 47360 and 47376?

We will first find the prime factorization of 47360 and 47376. After we will calculate the factors of 47360 and 47376 and find the biggest common factor number .

Step-1: Prime Factorization of 47360

Prime factors of 47360 are 2, 5, 37. Prime factorization of 47360 in exponential form is:

47360 = 2⁸ × 5¹ × 37¹

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 47360

List of positive integer factors of 47360 that divides 47360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 256, 296, 320, 370, 592, 640, 740, 1184, 1280, 1480, 2368, 2960, 4736, 5920, 9472, 11840, 23680

Step-4: Factors of 47376

List of positive integer factors of 47376 that divides 47360 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 47360 and 47376. The biggest common factor number is the GCF number.
So the greatest common factor 47360 and 47376 is 16.

Also check out the Least Common Multiple of 47360 and 47376