What is the Greatest Common Factor of 49472 and 49478?

Greatest common factor (GCF) of 49472 and 49478 is 2.

GCF(49472,49478) = 2

We will now calculate the prime factors of 49472 and 49478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49472 and 49478.

How to find the GCF of 49472 and 49478?

We will first find the prime factorization of 49472 and 49478. After we will calculate the factors of 49472 and 49478 and find the biggest common factor number .

Step-1: Prime Factorization of 49472

Prime factors of 49472 are 2, 773. Prime factorization of 49472 in exponential form is:

49472 = 2⁶ × 773¹

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 49472

List of positive integer factors of 49472 that divides 49472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 773, 1546, 3092, 6184, 12368, 24736

Step-4: Factors of 49478

List of positive integer factors of 49478 that divides 49472 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 49472 and 49478. The biggest common factor number is the GCF number.
So the greatest common factor 49472 and 49478 is 2.

Also check out the Least Common Multiple of 49472 and 49478