What is the Greatest Common Factor of 49419 and 49434?

Greatest common factor (GCF) of 49419 and 49434 is 3.

GCF(49419,49434) = 3

We will now calculate the prime factors of 49419 and 49434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49419 and 49434.

How to find the GCF of 49419 and 49434?

We will first find the prime factorization of 49419 and 49434. After we will calculate the factors of 49419 and 49434 and find the biggest common factor number .

Step-1: Prime Factorization of 49419

Prime factors of 49419 are 3, 17, 19. Prime factorization of 49419 in exponential form is:

49419 = 3² × 17² × 19¹

Step-2: 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-3: Factors of 49419

List of positive integer factors of 49419 that divides 49419 without a remainder.

1, 3, 9, 17, 19, 51, 57, 153, 171, 289, 323, 867, 969, 2601, 2907, 5491, 16473

Step-4: Factors of 49434

List of positive integer factors of 49434 that divides 49419 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49419 and 49434. The biggest common factor number is the GCF number.
So the greatest common factor 49419 and 49434 is 3.

Also check out the Least Common Multiple of 49419 and 49434