What is the Greatest Common Factor of 49348 and 49368?

Greatest common factor (GCF) of 49348 and 49368 is 4.

GCF(49348,49368) = 4

We will now calculate the prime factors of 49348 and 49368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49348 and 49368.

How to find the GCF of 49348 and 49368?

We will first find the prime factorization of 49348 and 49368. After we will calculate the factors of 49348 and 49368 and find the biggest common factor number .

Step-1: Prime Factorization of 49348

Prime factors of 49348 are 2, 13, 73. Prime factorization of 49348 in exponential form is:

49348 = 2² × 13² × 73¹

Step-2: Prime Factorization of 49368

Prime factors of 49368 are 2, 3, 11, 17. Prime factorization of 49368 in exponential form is:

49368 = 2³ × 3¹ × 11² × 17¹

Step-3: Factors of 49348

List of positive integer factors of 49348 that divides 49348 without a remainder.

1, 2, 4, 13, 26, 52, 73, 146, 169, 292, 338, 676, 949, 1898, 3796, 12337, 24674

Step-4: Factors of 49368

List of positive integer factors of 49368 that divides 49348 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 121, 132, 136, 187, 204, 242, 264, 363, 374, 408, 484, 561, 726, 748, 968, 1122, 1452, 1496, 2057, 2244, 2904, 4114, 4488, 6171, 8228, 12342, 16456, 24684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49348 and 49368. The biggest common factor number is the GCF number.
So the greatest common factor 49348 and 49368 is 4.

Also check out the Least Common Multiple of 49348 and 49368