What is the Greatest Common Factor of 20335 and 20342?

Greatest common factor (GCF) of 20335 and 20342 is 7.

GCF(20335,20342) = 7

We will now calculate the prime factors of 20335 and 20342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20335 and 20342.

How to find the GCF of 20335 and 20342?

We will first find the prime factorization of 20335 and 20342. After we will calculate the factors of 20335 and 20342 and find the biggest common factor number .

Step-1: Prime Factorization of 20335

Prime factors of 20335 are 5, 7, 83. Prime factorization of 20335 in exponential form is:

20335 = 5¹ × 7² × 83¹

Step-2: Prime Factorization of 20342

Prime factors of 20342 are 2, 7, 1453. Prime factorization of 20342 in exponential form is:

20342 = 2¹ × 7¹ × 1453¹

Step-3: Factors of 20335

List of positive integer factors of 20335 that divides 20335 without a remainder.

1, 5, 7, 35, 49, 83, 245, 415, 581, 2905, 4067

Step-4: Factors of 20342

List of positive integer factors of 20342 that divides 20335 without a remainder.

1, 2, 7, 14, 1453, 2906, 10171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20335 and 20342. The biggest common factor number is the GCF number.
So the greatest common factor 20335 and 20342 is 7.

Also check out the Least Common Multiple of 20335 and 20342