What is the Greatest Common Factor of 49335 and 49346?

Greatest common factor (GCF) of 49335 and 49346 is 11.

GCF(49335,49346) = 11

We will now calculate the prime factors of 49335 and 49346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49335 and 49346.

How to find the GCF of 49335 and 49346?

We will first find the prime factorization of 49335 and 49346. After we will calculate the factors of 49335 and 49346 and find the biggest common factor number .

Step-1: Prime Factorization of 49335

Prime factors of 49335 are 3, 5, 11, 13, 23. Prime factorization of 49335 in exponential form is:

49335 = 3¹ × 5¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 49346

Prime factors of 49346 are 2, 11, 2243. Prime factorization of 49346 in exponential form is:

49346 = 2¹ × 11¹ × 2243¹

Step-3: Factors of 49335

List of positive integer factors of 49335 that divides 49335 without a remainder.

1, 3, 5, 11, 13, 15, 23, 33, 39, 55, 65, 69, 115, 143, 165, 195, 253, 299, 345, 429, 715, 759, 897, 1265, 1495, 2145, 3289, 3795, 4485, 9867, 16445

Step-4: Factors of 49346

List of positive integer factors of 49346 that divides 49335 without a remainder.

1, 2, 11, 22, 2243, 4486, 24673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49335 and 49346. The biggest common factor number is the GCF number.
So the greatest common factor 49335 and 49346 is 11.

Also check out the Least Common Multiple of 49335 and 49346