What is the Greatest Common Factor of 52920 and 52934?

Greatest common factor (GCF) of 52920 and 52934 is 14.

GCF(52920,52934) = 14

We will now calculate the prime factors of 52920 and 52934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52920 and 52934.

How to find the GCF of 52920 and 52934?

We will first find the prime factorization of 52920 and 52934. After we will calculate the factors of 52920 and 52934 and find the biggest common factor number .

Step-1: Prime Factorization of 52920

Prime factors of 52920 are 2, 3, 5, 7. Prime factorization of 52920 in exponential form is:

52920 = 2³ × 3³ × 5¹ × 7²

Step-2: Prime Factorization of 52934

Prime factors of 52934 are 2, 7, 19, 199. Prime factorization of 52934 in exponential form is:

52934 = 2¹ × 7¹ × 19¹ × 199¹

Step-3: Factors of 52920

List of positive integer factors of 52920 that divides 52920 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 49, 54, 56, 60, 63, 70, 72, 84, 90, 98, 105, 108, 120, 126, 135, 140, 147, 168, 180, 189, 196, 210, 216, 245, 252, 270, 280, 294, 315, 360, 378, 392, 420, 441, 490, 504, 540, 588, 630, 735, 756, 840, 882, 945, 980, 1080, 1176, 1260, 1323, 1470, 1512, 1764, 1890, 1960, 2205, 2520, 2646, 2940, 3528, 3780, 4410, 5292, 5880, 6615, 7560, 8820, 10584, 13230, 17640, 26460

Step-4: Factors of 52934

List of positive integer factors of 52934 that divides 52920 without a remainder.

1, 2, 7, 14, 19, 38, 133, 199, 266, 398, 1393, 2786, 3781, 7562, 26467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52920 and 52934. The biggest common factor number is the GCF number.
So the greatest common factor 52920 and 52934 is 14.

Also check out the Least Common Multiple of 52920 and 52934