What is the Greatest Common Factor of 29520 and 29534?

Greatest common factor (GCF) of 29520 and 29534 is 2.

GCF(29520,29534) = 2

We will now calculate the prime factors of 29520 and 29534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29520 and 29534.

How to find the GCF of 29520 and 29534?

We will first find the prime factorization of 29520 and 29534. After we will calculate the factors of 29520 and 29534 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 29534

Prime factors of 29534 are 2, 14767. Prime factorization of 29534 in exponential form is:

29534 = 2¹ × 14767¹

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 29534

List of positive integer factors of 29534 that divides 29520 without a remainder.

1, 2, 14767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29520 and 29534. The biggest common factor number is the GCF number.
So the greatest common factor 29520 and 29534 is 2.

Also check out the Least Common Multiple of 29520 and 29534