What is the Greatest Common Factor of 35037 and 35054?

Greatest common factor (GCF) of 35037 and 35054 is 17.

GCF(35037,35054) = 17

We will now calculate the prime factors of 35037 and 35054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35037 and 35054.

How to find the GCF of 35037 and 35054?

We will first find the prime factorization of 35037 and 35054. After we will calculate the factors of 35037 and 35054 and find the biggest common factor number .

Step-1: Prime Factorization of 35037

Prime factors of 35037 are 3, 17, 229. Prime factorization of 35037 in exponential form is:

35037 = 3² × 17¹ × 229¹

Step-2: Prime Factorization of 35054

Prime factors of 35054 are 2, 17, 1031. Prime factorization of 35054 in exponential form is:

35054 = 2¹ × 17¹ × 1031¹

Step-3: Factors of 35037

List of positive integer factors of 35037 that divides 35037 without a remainder.

1, 3, 9, 17, 51, 153, 229, 687, 2061, 3893, 11679

Step-4: Factors of 35054

List of positive integer factors of 35054 that divides 35037 without a remainder.

1, 2, 17, 34, 1031, 2062, 17527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35037 and 35054. The biggest common factor number is the GCF number.
So the greatest common factor 35037 and 35054 is 17.

Also check out the Least Common Multiple of 35037 and 35054