What is the Greatest Common Factor of 35834 and 35853?

Greatest common factor (GCF) of 35834 and 35853 is 19.

GCF(35834,35853) = 19

We will now calculate the prime factors of 35834 and 35853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35834 and 35853.

How to find the GCF of 35834 and 35853?

We will first find the prime factorization of 35834 and 35853. After we will calculate the factors of 35834 and 35853 and find the biggest common factor number .

Step-1: Prime Factorization of 35834

Prime factors of 35834 are 2, 19, 23, 41. Prime factorization of 35834 in exponential form is:

35834 = 2¹ × 19¹ × 23¹ × 41¹

Step-2: Prime Factorization of 35853

Prime factors of 35853 are 3, 17, 19, 37. Prime factorization of 35853 in exponential form is:

35853 = 3¹ × 17¹ × 19¹ × 37¹

Step-3: Factors of 35834

List of positive integer factors of 35834 that divides 35834 without a remainder.

1, 2, 19, 23, 38, 41, 46, 82, 437, 779, 874, 943, 1558, 1886, 17917

Step-4: Factors of 35853

List of positive integer factors of 35853 that divides 35834 without a remainder.

1, 3, 17, 19, 37, 51, 57, 111, 323, 629, 703, 969, 1887, 2109, 11951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35834 and 35853. The biggest common factor number is the GCF number.
So the greatest common factor 35834 and 35853 is 19.

Also check out the Least Common Multiple of 35834 and 35853