What is the Greatest Common Factor of 35796 and 35804?

Greatest common factor (GCF) of 35796 and 35804 is 4.

GCF(35796,35804) = 4

We will now calculate the prime factors of 35796 and 35804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35796 and 35804.

How to find the GCF of 35796 and 35804?

We will first find the prime factorization of 35796 and 35804. After we will calculate the factors of 35796 and 35804 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 35804

Prime factors of 35804 are 2, 8951. Prime factorization of 35804 in exponential form is:

35804 = 2² × 8951¹

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 35804

List of positive integer factors of 35804 that divides 35796 without a remainder.

1, 2, 4, 8951, 17902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35796 and 35804. The biggest common factor number is the GCF number.
So the greatest common factor 35796 and 35804 is 4.

Also check out the Least Common Multiple of 35796 and 35804