What is the Greatest Common Factor of 35796 and 35815?

Greatest common factor (GCF) of 35796 and 35815 is 19.

GCF(35796,35815) = 19

We will now calculate the prime factors of 35796 and 35815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35796 and 35815.

How to find the GCF of 35796 and 35815?

We will first find the prime factorization of 35796 and 35815. After we will calculate the factors of 35796 and 35815 and find the biggest common factor number .

Step-1: Prime Factorization of 35796

Prime factors of 35796 are 2, 3, 19, 157. Prime factorization of 35796 in exponential form is:

35796 = 2² × 3¹ × 19¹ × 157¹

Step-2: Prime Factorization of 35815

Prime factors of 35815 are 5, 13, 19, 29. Prime factorization of 35815 in exponential form is:

35815 = 5¹ × 13¹ × 19¹ × 29¹

Step-3: Factors of 35796

List of positive integer factors of 35796 that divides 35796 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 157, 228, 314, 471, 628, 942, 1884, 2983, 5966, 8949, 11932, 17898

Step-4: Factors of 35815

List of positive integer factors of 35815 that divides 35796 without a remainder.

1, 5, 13, 19, 29, 65, 95, 145, 247, 377, 551, 1235, 1885, 2755, 7163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35796 and 35815. The biggest common factor number is the GCF number.
So the greatest common factor 35796 and 35815 is 19.

Also check out the Least Common Multiple of 35796 and 35815