What is the Greatest Common Factor of 10920 and 10934?

Greatest common factor (GCF) of 10920 and 10934 is 14.

GCF(10920,10934) = 14

We will now calculate the prime factors of 10920 and 10934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10920 and 10934.

How to find the GCF of 10920 and 10934?

We will first find the prime factorization of 10920 and 10934. After we will calculate the factors of 10920 and 10934 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 10934

Prime factors of 10934 are 2, 7, 11, 71. Prime factorization of 10934 in exponential form is:

10934 = 2¹ × 7¹ × 11¹ × 71¹

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 10934

List of positive integer factors of 10934 that divides 10920 without a remainder.

1, 2, 7, 11, 14, 22, 71, 77, 142, 154, 497, 781, 994, 1562, 5467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10920 and 10934. The biggest common factor number is the GCF number.
So the greatest common factor 10920 and 10934 is 14.

Also check out the Least Common Multiple of 10920 and 10934