What is the Greatest Common Factor of 29031 and 29046?

Greatest common factor (GCF) of 29031 and 29046 is 3.

GCF(29031,29046) = 3

We will now calculate the prime factors of 29031 and 29046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29031 and 29046.

How to find the GCF of 29031 and 29046?

We will first find the prime factorization of 29031 and 29046. After we will calculate the factors of 29031 and 29046 and find the biggest common factor number .

Step-1: Prime Factorization of 29031

Prime factors of 29031 are 3, 9677. Prime factorization of 29031 in exponential form is:

29031 = 3¹ × 9677¹

Step-2: Prime Factorization of 29046

Prime factors of 29046 are 2, 3, 47, 103. Prime factorization of 29046 in exponential form is:

29046 = 2¹ × 3¹ × 47¹ × 103¹

Step-3: Factors of 29031

List of positive integer factors of 29031 that divides 29031 without a remainder.

1, 3, 9677

Step-4: Factors of 29046

List of positive integer factors of 29046 that divides 29031 without a remainder.

1, 2, 3, 6, 47, 94, 103, 141, 206, 282, 309, 618, 4841, 9682, 14523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29031 and 29046. The biggest common factor number is the GCF number.
So the greatest common factor 29031 and 29046 is 3.

Also check out the Least Common Multiple of 29031 and 29046