What is the Greatest Common Factor of 49465 and 49478?

Greatest common factor (GCF) of 49465 and 49478 is 13.

GCF(49465,49478) = 13

We will now calculate the prime factors of 49465 and 49478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49465 and 49478.

How to find the GCF of 49465 and 49478?

We will first find the prime factorization of 49465 and 49478. After we will calculate the factors of 49465 and 49478 and find the biggest common factor number .

Step-1: Prime Factorization of 49465

Prime factors of 49465 are 5, 13, 761. Prime factorization of 49465 in exponential form is:

49465 = 5¹ × 13¹ × 761¹

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 49465

List of positive integer factors of 49465 that divides 49465 without a remainder.

1, 5, 13, 65, 761, 3805, 9893

Step-4: Factors of 49478

List of positive integer factors of 49478 that divides 49465 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 49465 and 49478. The biggest common factor number is the GCF number.
So the greatest common factor 49465 and 49478 is 13.

Also check out the Least Common Multiple of 49465 and 49478