What is the Greatest Common Factor of 35134 and 35150?

Greatest common factor (GCF) of 35134 and 35150 is 2.

GCF(35134,35150) = 2

We will now calculate the prime factors of 35134 and 35150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35134 and 35150.

How to find the GCF of 35134 and 35150?

We will first find the prime factorization of 35134 and 35150. After we will calculate the factors of 35134 and 35150 and find the biggest common factor number .

Step-1: Prime Factorization of 35134

Prime factors of 35134 are 2, 11, 1597. Prime factorization of 35134 in exponential form is:

35134 = 2¹ × 11¹ × 1597¹

Step-2: Prime Factorization of 35150

Prime factors of 35150 are 2, 5, 19, 37. Prime factorization of 35150 in exponential form is:

35150 = 2¹ × 5² × 19¹ × 37¹

Step-3: Factors of 35134

List of positive integer factors of 35134 that divides 35134 without a remainder.

1, 2, 11, 22, 1597, 3194, 17567

Step-4: Factors of 35150

List of positive integer factors of 35150 that divides 35134 without a remainder.

1, 2, 5, 10, 19, 25, 37, 38, 50, 74, 95, 185, 190, 370, 475, 703, 925, 950, 1406, 1850, 3515, 7030, 17575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35134 and 35150. The biggest common factor number is the GCF number.
So the greatest common factor 35134 and 35150 is 2.

Also check out the Least Common Multiple of 35134 and 35150