What is the Greatest Common Factor of 84348 and 84354?

Greatest common factor (GCF) of 84348 and 84354 is 6.

GCF(84348,84354) = 6

We will now calculate the prime factors of 84348 and 84354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84348 and 84354.

How to find the GCF of 84348 and 84354?

We will first find the prime factorization of 84348 and 84354. After we will calculate the factors of 84348 and 84354 and find the biggest common factor number .

Step-1: Prime Factorization of 84348

Prime factors of 84348 are 2, 3, 11, 71. Prime factorization of 84348 in exponential form is:

84348 = 2² × 3³ × 11¹ × 71¹

Step-2: Prime Factorization of 84354

Prime factors of 84354 are 2, 3, 17, 827. Prime factorization of 84354 in exponential form is:

84354 = 2¹ × 3¹ × 17¹ × 827¹

Step-3: Factors of 84348

List of positive integer factors of 84348 that divides 84348 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 71, 99, 108, 132, 142, 198, 213, 284, 297, 396, 426, 594, 639, 781, 852, 1188, 1278, 1562, 1917, 2343, 2556, 3124, 3834, 4686, 7029, 7668, 9372, 14058, 21087, 28116, 42174

Step-4: Factors of 84354

List of positive integer factors of 84354 that divides 84348 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 827, 1654, 2481, 4962, 14059, 28118, 42177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84348 and 84354. The biggest common factor number is the GCF number.
So the greatest common factor 84348 and 84354 is 6.

Also check out the Least Common Multiple of 84348 and 84354