What is the Greatest Common Factor of 10920 and 10940?

Greatest common factor (GCF) of 10920 and 10940 is 20.

GCF(10920,10940) = 20

We will now calculate the prime factors of 10920 and 10940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10920 and 10940.

How to find the GCF of 10920 and 10940?

We will first find the prime factorization of 10920 and 10940. After we will calculate the factors of 10920 and 10940 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 10940

Prime factors of 10940 are 2, 5, 547. Prime factorization of 10940 in exponential form is:

10940 = 2² × 5¹ × 547¹

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 10940

List of positive integer factors of 10940 that divides 10920 without a remainder.

1, 2, 4, 5, 10, 20, 547, 1094, 2188, 2735, 5470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10920 and 10940. The biggest common factor number is the GCF number.
So the greatest common factor 10920 and 10940 is 20.

Also check out the Least Common Multiple of 10920 and 10940