What is the Greatest Common Factor of 29520 and 29538?

Greatest common factor (GCF) of 29520 and 29538 is 18.

GCF(29520,29538) = 18

We will now calculate the prime factors of 29520 and 29538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29520 and 29538.

How to find the GCF of 29520 and 29538?

We will first find the prime factorization of 29520 and 29538. After we will calculate the factors of 29520 and 29538 and find the biggest common factor number .

Step-1: Prime Factorization of 29520

Prime factors of 29520 are 2, 3, 5, 41. Prime factorization of 29520 in exponential form is:

29520 = 2⁴ × 3² × 5¹ × 41¹

Step-2: 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-3: Factors of 29520

List of positive integer factors of 29520 that divides 29520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 41, 45, 48, 60, 72, 80, 82, 90, 120, 123, 144, 164, 180, 205, 240, 246, 328, 360, 369, 410, 492, 615, 656, 720, 738, 820, 984, 1230, 1476, 1640, 1845, 1968, 2460, 2952, 3280, 3690, 4920, 5904, 7380, 9840, 14760

Step-4: Factors of 29538

List of positive integer factors of 29538 that divides 29520 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29520 and 29538. The biggest common factor number is the GCF number.
So the greatest common factor 29520 and 29538 is 18.

Also check out the Least Common Multiple of 29520 and 29538