What is the Greatest Common Factor of 35188 and 35198?

Greatest common factor (GCF) of 35188 and 35198 is 2.

GCF(35188,35198) = 2

We will now calculate the prime factors of 35188 and 35198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35188 and 35198.

How to find the GCF of 35188 and 35198?

We will first find the prime factorization of 35188 and 35198. After we will calculate the factors of 35188 and 35198 and find the biggest common factor number .

Step-1: Prime Factorization of 35188

Prime factors of 35188 are 2, 19, 463. Prime factorization of 35188 in exponential form is:

35188 = 2² × 19¹ × 463¹

Step-2: Prime Factorization of 35198

Prime factors of 35198 are 2, 17599. Prime factorization of 35198 in exponential form is:

35198 = 2¹ × 17599¹

Step-3: Factors of 35188

List of positive integer factors of 35188 that divides 35188 without a remainder.

1, 2, 4, 19, 38, 76, 463, 926, 1852, 8797, 17594

Step-4: Factors of 35198

List of positive integer factors of 35198 that divides 35188 without a remainder.

1, 2, 17599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35188 and 35198. The biggest common factor number is the GCF number.
So the greatest common factor 35188 and 35198 is 2.

Also check out the Least Common Multiple of 35188 and 35198