What is the Greatest Common Factor of 52920 and 52935?

Greatest common factor (GCF) of 52920 and 52935 is 15.

GCF(52920,52935) = 15

We will now calculate the prime factors of 52920 and 52935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52920 and 52935.

How to find the GCF of 52920 and 52935?

We will first find the prime factorization of 52920 and 52935. After we will calculate the factors of 52920 and 52935 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 52935

Prime factors of 52935 are 3, 5, 3529. Prime factorization of 52935 in exponential form is:

52935 = 3¹ × 5¹ × 3529¹

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 52935

List of positive integer factors of 52935 that divides 52920 without a remainder.

1, 3, 5, 15, 3529, 10587, 17645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52920 and 52935. The biggest common factor number is the GCF number.
So the greatest common factor 52920 and 52935 is 15.

Also check out the Least Common Multiple of 52920 and 52935