What is the Greatest Common Factor of 35798 and 35812?

Greatest common factor (GCF) of 35798 and 35812 is 14.

GCF(35798,35812) = 14

We will now calculate the prime factors of 35798 and 35812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35798 and 35812.

How to find the GCF of 35798 and 35812?

We will first find the prime factorization of 35798 and 35812. After we will calculate the factors of 35798 and 35812 and find the biggest common factor number .

Step-1: Prime Factorization of 35798

Prime factors of 35798 are 2, 7, 2557. Prime factorization of 35798 in exponential form is:

35798 = 2¹ × 7¹ × 2557¹

Step-2: Prime Factorization of 35812

Prime factors of 35812 are 2, 7, 1279. Prime factorization of 35812 in exponential form is:

35812 = 2² × 7¹ × 1279¹

Step-3: Factors of 35798

List of positive integer factors of 35798 that divides 35798 without a remainder.

1, 2, 7, 14, 2557, 5114, 17899

Step-4: Factors of 35812

List of positive integer factors of 35812 that divides 35798 without a remainder.

1, 2, 4, 7, 14, 28, 1279, 2558, 5116, 8953, 17906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35798 and 35812. The biggest common factor number is the GCF number.
So the greatest common factor 35798 and 35812 is 14.

Also check out the Least Common Multiple of 35798 and 35812