What is the Greatest Common Factor of 20335 and 20349?

Greatest common factor (GCF) of 20335 and 20349 is 7.

GCF(20335,20349) = 7

We will now calculate the prime factors of 20335 and 20349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20335 and 20349.

How to find the GCF of 20335 and 20349?

We will first find the prime factorization of 20335 and 20349. After we will calculate the factors of 20335 and 20349 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 20349

Prime factors of 20349 are 3, 7, 17, 19. Prime factorization of 20349 in exponential form is:

20349 = 3² × 7¹ × 17¹ × 19¹

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 20349

List of positive integer factors of 20349 that divides 20335 without a remainder.

1, 3, 7, 9, 17, 19, 21, 51, 57, 63, 119, 133, 153, 171, 323, 357, 399, 969, 1071, 1197, 2261, 2907, 6783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20335 and 20349. The biggest common factor number is the GCF number.
So the greatest common factor 20335 and 20349 is 7.

Also check out the Least Common Multiple of 20335 and 20349