What is the Greatest Common Factor of 35174 and 35188?

Greatest common factor (GCF) of 35174 and 35188 is 2.

GCF(35174,35188) = 2

We will now calculate the prime factors of 35174 and 35188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35174 and 35188.

How to find the GCF of 35174 and 35188?

We will first find the prime factorization of 35174 and 35188. After we will calculate the factors of 35174 and 35188 and find the biggest common factor number .

Step-1: Prime Factorization of 35174

Prime factors of 35174 are 2, 43, 409. Prime factorization of 35174 in exponential form is:

35174 = 2¹ × 43¹ × 409¹

Step-2: 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-3: Factors of 35174

List of positive integer factors of 35174 that divides 35174 without a remainder.

1, 2, 43, 86, 409, 818, 17587

Step-4: Factors of 35188

List of positive integer factors of 35188 that divides 35174 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35174 and 35188. The biggest common factor number is the GCF number.
So the greatest common factor 35174 and 35188 is 2.

Also check out the Least Common Multiple of 35174 and 35188