What is the Greatest Common Factor of 49467 and 49478?

Greatest common factor (GCF) of 49467 and 49478 is 11.

GCF(49467,49478) = 11

We will now calculate the prime factors of 49467 and 49478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49467 and 49478.

How to find the GCF of 49467 and 49478?

We will first find the prime factorization of 49467 and 49478. After we will calculate the factors of 49467 and 49478 and find the biggest common factor number .

Step-1: Prime Factorization of 49467

Prime factors of 49467 are 3, 11, 1499. Prime factorization of 49467 in exponential form is:

49467 = 3¹ × 11¹ × 1499¹

Step-2: Prime Factorization of 49478

Prime factors of 49478 are 2, 11, 13, 173. Prime factorization of 49478 in exponential form is:

49478 = 2¹ × 11¹ × 13¹ × 173¹

Step-3: Factors of 49467

List of positive integer factors of 49467 that divides 49467 without a remainder.

1, 3, 11, 33, 1499, 4497, 16489

Step-4: Factors of 49478

List of positive integer factors of 49478 that divides 49467 without a remainder.

1, 2, 11, 13, 22, 26, 143, 173, 286, 346, 1903, 2249, 3806, 4498, 24739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49467 and 49478. The biggest common factor number is the GCF number.
So the greatest common factor 49467 and 49478 is 11.

Also check out the Least Common Multiple of 49467 and 49478