What is the Greatest Common Factor of 47370 and 47376?

Greatest common factor (GCF) of 47370 and 47376 is 6.

GCF(47370,47376) = 6

We will now calculate the prime factors of 47370 and 47376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47370 and 47376.

How to find the GCF of 47370 and 47376?

We will first find the prime factorization of 47370 and 47376. After we will calculate the factors of 47370 and 47376 and find the biggest common factor number .

Step-1: Prime Factorization of 47370

Prime factors of 47370 are 2, 3, 5, 1579. Prime factorization of 47370 in exponential form is:

47370 = 2¹ × 3¹ × 5¹ × 1579¹

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 47370

List of positive integer factors of 47370 that divides 47370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1579, 3158, 4737, 7895, 9474, 15790, 23685

Step-4: Factors of 47376

List of positive integer factors of 47376 that divides 47370 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 47370 and 47376. The biggest common factor number is the GCF number.
So the greatest common factor 47370 and 47376 is 6.

Also check out the Least Common Multiple of 47370 and 47376