What is the Greatest Common Factor of 56342 and 56353?

Greatest common factor (GCF) of 56342 and 56353 is 11.

GCF(56342,56353) = 11

We will now calculate the prime factors of 56342 and 56353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56342 and 56353.

How to find the GCF of 56342 and 56353?

We will first find the prime factorization of 56342 and 56353. After we will calculate the factors of 56342 and 56353 and find the biggest common factor number .

Step-1: Prime Factorization of 56342

Prime factors of 56342 are 2, 11, 13, 197. Prime factorization of 56342 in exponential form is:

56342 = 2¹ × 11¹ × 13¹ × 197¹

Step-2: Prime Factorization of 56353

Prime factors of 56353 are 11, 47, 109. Prime factorization of 56353 in exponential form is:

56353 = 11¹ × 47¹ × 109¹

Step-3: Factors of 56342

List of positive integer factors of 56342 that divides 56342 without a remainder.

1, 2, 11, 13, 22, 26, 143, 197, 286, 394, 2167, 2561, 4334, 5122, 28171

Step-4: Factors of 56353

List of positive integer factors of 56353 that divides 56342 without a remainder.

1, 11, 47, 109, 517, 1199, 5123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56342 and 56353. The biggest common factor number is the GCF number.
So the greatest common factor 56342 and 56353 is 11.

Also check out the Least Common Multiple of 56342 and 56353