What is the Greatest Common Factor of 53028 and 53040?

Greatest common factor (GCF) of 53028 and 53040 is 12.

GCF(53028,53040) = 12

We will now calculate the prime factors of 53028 and 53040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53028 and 53040.

How to find the GCF of 53028 and 53040?

We will first find the prime factorization of 53028 and 53040. After we will calculate the factors of 53028 and 53040 and find the biggest common factor number .

Step-1: Prime Factorization of 53028

Prime factors of 53028 are 2, 3, 491. Prime factorization of 53028 in exponential form is:

53028 = 2² × 3³ × 491¹

Step-2: Prime Factorization of 53040

Prime factors of 53040 are 2, 3, 5, 13, 17. Prime factorization of 53040 in exponential form is:

53040 = 2⁴ × 3¹ × 5¹ × 13¹ × 17¹

Step-3: Factors of 53028

List of positive integer factors of 53028 that divides 53028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 491, 982, 1473, 1964, 2946, 4419, 5892, 8838, 13257, 17676, 26514

Step-4: Factors of 53040

List of positive integer factors of 53040 that divides 53028 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 17, 20, 24, 26, 30, 34, 39, 40, 48, 51, 52, 60, 65, 68, 78, 80, 85, 102, 104, 120, 130, 136, 156, 170, 195, 204, 208, 221, 240, 255, 260, 272, 312, 340, 390, 408, 442, 510, 520, 624, 663, 680, 780, 816, 884, 1020, 1040, 1105, 1326, 1360, 1560, 1768, 2040, 2210, 2652, 3120, 3315, 3536, 4080, 4420, 5304, 6630, 8840, 10608, 13260, 17680, 26520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53028 and 53040. The biggest common factor number is the GCF number.
So the greatest common factor 53028 and 53040 is 12.

Also check out the Least Common Multiple of 53028 and 53040