What is the Greatest Common Factor of 29538 and 29546?

Greatest common factor (GCF) of 29538 and 29546 is 2.

GCF(29538,29546) = 2

We will now calculate the prime factors of 29538 and 29546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29538 and 29546.

How to find the GCF of 29538 and 29546?

We will first find the prime factorization of 29538 and 29546. After we will calculate the factors of 29538 and 29546 and find the biggest common factor number .

Step-1: Prime Factorization of 29538

Prime factors of 29538 are 2, 3, 547. Prime factorization of 29538 in exponential form is:

29538 = 2¹ × 3³ × 547¹

Step-2: Prime Factorization of 29546

Prime factors of 29546 are 2, 11, 17, 79. Prime factorization of 29546 in exponential form is:

29546 = 2¹ × 11¹ × 17¹ × 79¹

Step-3: Factors of 29538

List of positive integer factors of 29538 that divides 29538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 547, 1094, 1641, 3282, 4923, 9846, 14769

Step-4: Factors of 29546

List of positive integer factors of 29546 that divides 29538 without a remainder.

1, 2, 11, 17, 22, 34, 79, 158, 187, 374, 869, 1343, 1738, 2686, 14773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29538 and 29546. The biggest common factor number is the GCF number.
So the greatest common factor 29538 and 29546 is 2.

Also check out the Least Common Multiple of 29538 and 29546