What is the Greatest Common Factor of 49380 and 49392?

Greatest common factor (GCF) of 49380 and 49392 is 12.

GCF(49380,49392) = 12

We will now calculate the prime factors of 49380 and 49392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49380 and 49392.

How to find the GCF of 49380 and 49392?

We will first find the prime factorization of 49380 and 49392. After we will calculate the factors of 49380 and 49392 and find the biggest common factor number .

Step-1: Prime Factorization of 49380

Prime factors of 49380 are 2, 3, 5, 823. Prime factorization of 49380 in exponential form is:

49380 = 2² × 3¹ × 5¹ × 823¹

Step-2: Prime Factorization of 49392

Prime factors of 49392 are 2, 3, 7. Prime factorization of 49392 in exponential form is:

49392 = 2⁴ × 3² × 7³

Step-3: Factors of 49380

List of positive integer factors of 49380 that divides 49380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 823, 1646, 2469, 3292, 4115, 4938, 8230, 9876, 12345, 16460, 24690

Step-4: Factors of 49392

List of positive integer factors of 49392 that divides 49380 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 343, 392, 441, 504, 588, 686, 784, 882, 1008, 1029, 1176, 1372, 1764, 2058, 2352, 2744, 3087, 3528, 4116, 5488, 6174, 7056, 8232, 12348, 16464, 24696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49380 and 49392. The biggest common factor number is the GCF number.
So the greatest common factor 49380 and 49392 is 12.

Also check out the Least Common Multiple of 49380 and 49392