What is the Greatest Common Factor of 4348 and 4368?

Greatest common factor (GCF) of 4348 and 4368 is 4.

GCF(4348,4368) = 4

We will now calculate the prime factors of 4348 and 4368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4348 and 4368.

How to find the GCF of 4348 and 4368?

We will first find the prime factorization of 4348 and 4368. After we will calculate the factors of 4348 and 4368 and find the biggest common factor number .

Step-1: Prime Factorization of 4348

Prime factors of 4348 are 2, 1087. Prime factorization of 4348 in exponential form is:

4348 = 2² × 1087¹

Step-2: Prime Factorization of 4368

Prime factors of 4368 are 2, 3, 7, 13. Prime factorization of 4368 in exponential form is:

4368 = 2⁴ × 3¹ × 7¹ × 13¹

Step-3: Factors of 4348

List of positive integer factors of 4348 that divides 4348 without a remainder.

1, 2, 4, 1087, 2174

Step-4: Factors of 4368

List of positive integer factors of 4368 that divides 4348 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4348 and 4368. The biggest common factor number is the GCF number.
So the greatest common factor 4348 and 4368 is 4.

Also check out the Least Common Multiple of 4348 and 4368