What is the Greatest Common Factor of 49322 and 49335?

Greatest common factor (GCF) of 49322 and 49335 is 13.

GCF(49322,49335) = 13

We will now calculate the prime factors of 49322 and 49335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49322 and 49335.

How to find the GCF of 49322 and 49335?

We will first find the prime factorization of 49322 and 49335. After we will calculate the factors of 49322 and 49335 and find the biggest common factor number .

Step-1: Prime Factorization of 49322

Prime factors of 49322 are 2, 7, 13, 271. Prime factorization of 49322 in exponential form is:

49322 = 2¹ × 7¹ × 13¹ × 271¹

Step-2: 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-3: Factors of 49322

List of positive integer factors of 49322 that divides 49322 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 271, 542, 1897, 3523, 3794, 7046, 24661

Step-4: Factors of 49335

List of positive integer factors of 49335 that divides 49322 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49322 and 49335. The biggest common factor number is the GCF number.
So the greatest common factor 49322 and 49335 is 13.

Also check out the Least Common Multiple of 49322 and 49335