What is the Greatest Common Factor of 29520 and 29540?

Greatest common factor (GCF) of 29520 and 29540 is 20.

GCF(29520,29540) = 20

We will now calculate the prime factors of 29520 and 29540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29520 and 29540.

How to find the GCF of 29520 and 29540?

We will first find the prime factorization of 29520 and 29540. After we will calculate the factors of 29520 and 29540 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 29540

Prime factors of 29540 are 2, 5, 7, 211. Prime factorization of 29540 in exponential form is:

29540 = 2² × 5¹ × 7¹ × 211¹

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 29540

List of positive integer factors of 29540 that divides 29520 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 211, 422, 844, 1055, 1477, 2110, 2954, 4220, 5908, 7385, 14770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29520 and 29540. The biggest common factor number is the GCF number.
So the greatest common factor 29520 and 29540 is 20.

Also check out the Least Common Multiple of 29520 and 29540