What is the Greatest Common Factor of 52914 and 52920?

Greatest common factor (GCF) of 52914 and 52920 is 6.

GCF(52914,52920) = 6

We will now calculate the prime factors of 52914 and 52920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52914 and 52920.

How to find the GCF of 52914 and 52920?

We will first find the prime factorization of 52914 and 52920. After we will calculate the factors of 52914 and 52920 and find the biggest common factor number .

Step-1: Prime Factorization of 52914

Prime factors of 52914 are 2, 3, 8819. Prime factorization of 52914 in exponential form is:

52914 = 2¹ × 3¹ × 8819¹

Step-2: 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-3: Factors of 52914

List of positive integer factors of 52914 that divides 52914 without a remainder.

1, 2, 3, 6, 8819, 17638, 26457

Step-4: Factors of 52920

List of positive integer factors of 52920 that divides 52914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52914 and 52920. The biggest common factor number is the GCF number.
So the greatest common factor 52914 and 52920 is 6.

Also check out the Least Common Multiple of 52914 and 52920