What is the Greatest Common Factor of 35038 and 35046?

Greatest common factor (GCF) of 35038 and 35046 is 2.

GCF(35038,35046) = 2

We will now calculate the prime factors of 35038 and 35046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35038 and 35046.

How to find the GCF of 35038 and 35046?

We will first find the prime factorization of 35038 and 35046. After we will calculate the factors of 35038 and 35046 and find the biggest common factor number .

Step-1: Prime Factorization of 35038

Prime factors of 35038 are 2, 17519. Prime factorization of 35038 in exponential form is:

35038 = 2¹ × 17519¹

Step-2: Prime Factorization of 35046

Prime factors of 35046 are 2, 3, 11, 59. Prime factorization of 35046 in exponential form is:

35046 = 2¹ × 3³ × 11¹ × 59¹

Step-3: Factors of 35038

List of positive integer factors of 35038 that divides 35038 without a remainder.

1, 2, 17519

Step-4: Factors of 35046

List of positive integer factors of 35046 that divides 35038 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 59, 66, 99, 118, 177, 198, 297, 354, 531, 594, 649, 1062, 1298, 1593, 1947, 3186, 3894, 5841, 11682, 17523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35038 and 35046. The biggest common factor number is the GCF number.
So the greatest common factor 35038 and 35046 is 2.

Also check out the Least Common Multiple of 35038 and 35046