What is the Greatest Common Factor of 53023 and 53040?

Greatest common factor (GCF) of 53023 and 53040 is 17.

GCF(53023,53040) = 17

We will now calculate the prime factors of 53023 and 53040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53023 and 53040.

How to find the GCF of 53023 and 53040?

We will first find the prime factorization of 53023 and 53040. After we will calculate the factors of 53023 and 53040 and find the biggest common factor number .

Step-1: Prime Factorization of 53023

Prime factors of 53023 are 17, 3119. Prime factorization of 53023 in exponential form is:

53023 = 17¹ × 3119¹

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 53023

List of positive integer factors of 53023 that divides 53023 without a remainder.

1, 17, 3119

Step-4: Factors of 53040

List of positive integer factors of 53040 that divides 53023 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 53023 and 53040. The biggest common factor number is the GCF number.
So the greatest common factor 53023 and 53040 is 17.

Also check out the Least Common Multiple of 53023 and 53040