What is the Greatest Common Factor of 49434 and 49449?

Greatest common factor (GCF) of 49434 and 49449 is 3.

GCF(49434,49449) = 3

We will now calculate the prime factors of 49434 and 49449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49434 and 49449.

How to find the GCF of 49434 and 49449?

We will first find the prime factorization of 49434 and 49449. After we will calculate the factors of 49434 and 49449 and find the biggest common factor number .

Step-1: Prime Factorization of 49434

Prime factors of 49434 are 2, 3, 7, 11, 107. Prime factorization of 49434 in exponential form is:

49434 = 2¹ × 3¹ × 7¹ × 11¹ × 107¹

Step-2: Prime Factorization of 49449

Prime factors of 49449 are 3, 53, 311. Prime factorization of 49449 in exponential form is:

49449 = 3¹ × 53¹ × 311¹

Step-3: Factors of 49434

List of positive integer factors of 49434 that divides 49434 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 107, 154, 214, 231, 321, 462, 642, 749, 1177, 1498, 2247, 2354, 3531, 4494, 7062, 8239, 16478, 24717

Step-4: Factors of 49449

List of positive integer factors of 49449 that divides 49434 without a remainder.

1, 3, 53, 159, 311, 933, 16483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49434 and 49449. The biggest common factor number is the GCF number.
So the greatest common factor 49434 and 49449 is 3.

Also check out the Least Common Multiple of 49434 and 49449