What is the Greatest Common Factor of 52920 and 52938?

Greatest common factor (GCF) of 52920 and 52938 is 18.

GCF(52920,52938) = 18

We will now calculate the prime factors of 52920 and 52938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52920 and 52938.

How to find the GCF of 52920 and 52938?

We will first find the prime factorization of 52920 and 52938. After we will calculate the factors of 52920 and 52938 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 52938

Prime factors of 52938 are 2, 3, 17, 173. Prime factorization of 52938 in exponential form is:

52938 = 2¹ × 3² × 17¹ × 173¹

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 52938

List of positive integer factors of 52938 that divides 52920 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 173, 306, 346, 519, 1038, 1557, 2941, 3114, 5882, 8823, 17646, 26469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52920 and 52938. The biggest common factor number is the GCF number.
So the greatest common factor 52920 and 52938 is 18.

Also check out the Least Common Multiple of 52920 and 52938