What is the Greatest Common Factor of 35786 and 35804?

Greatest common factor (GCF) of 35786 and 35804 is 2.

GCF(35786,35804) = 2

We will now calculate the prime factors of 35786 and 35804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35786 and 35804.

How to find the GCF of 35786 and 35804?

We will first find the prime factorization of 35786 and 35804. After we will calculate the factors of 35786 and 35804 and find the biggest common factor number .

Step-1: Prime Factorization of 35786

Prime factors of 35786 are 2, 29, 617. Prime factorization of 35786 in exponential form is:

35786 = 2¹ × 29¹ × 617¹

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 35786

List of positive integer factors of 35786 that divides 35786 without a remainder.

1, 2, 29, 58, 617, 1234, 17893

Step-4: Factors of 35804

List of positive integer factors of 35804 that divides 35786 without a remainder.

1, 2, 4, 8951, 17902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35786 and 35804. The biggest common factor number is the GCF number.
So the greatest common factor 35786 and 35804 is 2.

Also check out the Least Common Multiple of 35786 and 35804