What is the Greatest Common Factor of 53025 and 53040?

Greatest common factor (GCF) of 53025 and 53040 is 15.

GCF(53025,53040) = 15

We will now calculate the prime factors of 53025 and 53040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53025 and 53040.

How to find the GCF of 53025 and 53040?

We will first find the prime factorization of 53025 and 53040. After we will calculate the factors of 53025 and 53040 and find the biggest common factor number .

Step-1: Prime Factorization of 53025

Prime factors of 53025 are 3, 5, 7, 101. Prime factorization of 53025 in exponential form is:

53025 = 3¹ × 5² × 7¹ × 101¹

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 53025

List of positive integer factors of 53025 that divides 53025 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 101, 105, 175, 303, 505, 525, 707, 1515, 2121, 2525, 3535, 7575, 10605, 17675

Step-4: Factors of 53040

List of positive integer factors of 53040 that divides 53025 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 53025 and 53040. The biggest common factor number is the GCF number.
So the greatest common factor 53025 and 53040 is 15.

Also check out the Least Common Multiple of 53025 and 53040