What is the Greatest Common Factor of 53040 and 53045?

Greatest common factor (GCF) of 53040 and 53045 is 5.

GCF(53040,53045) = 5

We will now calculate the prime factors of 53040 and 53045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53045.

How to find the GCF of 53040 and 53045?

We will first find the prime factorization of 53040 and 53045. After we will calculate the factors of 53040 and 53045 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53045

Prime factors of 53045 are 5, 103. Prime factorization of 53045 in exponential form is:

53045 = 5¹ × 103²

Step-3: Factors of 53040

List of positive integer factors of 53040 that divides 53040 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

Step-4: Factors of 53045

List of positive integer factors of 53045 that divides 53040 without a remainder.

1, 5, 103, 515, 10609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53045. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53045 is 5.

Also check out the Least Common Multiple of 53040 and 53045