What is the Greatest Common Factor of 10920 and 10935?

Greatest common factor (GCF) of 10920 and 10935 is 15.

GCF(10920,10935) = 15

We will now calculate the prime factors of 10920 and 10935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10920 and 10935.

How to find the GCF of 10920 and 10935?

We will first find the prime factorization of 10920 and 10935. After we will calculate the factors of 10920 and 10935 and find the biggest common factor number .

Step-1: Prime Factorization of 10920

Prime factors of 10920 are 2, 3, 5, 7, 13. Prime factorization of 10920 in exponential form is:

10920 = 2³ × 3¹ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 10935

Prime factors of 10935 are 3, 5. Prime factorization of 10935 in exponential form is:

10935 = 3⁷ × 5¹

Step-3: Factors of 10920

List of positive integer factors of 10920 that divides 10920 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 52, 56, 60, 65, 70, 78, 84, 91, 104, 105, 120, 130, 140, 156, 168, 182, 195, 210, 260, 273, 280, 312, 364, 390, 420, 455, 520, 546, 728, 780, 840, 910, 1092, 1365, 1560, 1820, 2184, 2730, 3640, 5460

Step-4: Factors of 10935

List of positive integer factors of 10935 that divides 10920 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 2187, 3645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10920 and 10935. The biggest common factor number is the GCF number.
So the greatest common factor 10920 and 10935 is 15.

Also check out the Least Common Multiple of 10920 and 10935