What is the Greatest Common Factor of 53022 and 53040?

Greatest common factor (GCF) of 53022 and 53040 is 6.

GCF(53022,53040) = 6

We will now calculate the prime factors of 53022 and 53040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53022 and 53040.

How to find the GCF of 53022 and 53040?

We will first find the prime factorization of 53022 and 53040. After we will calculate the factors of 53022 and 53040 and find the biggest common factor number .

Step-1: Prime Factorization of 53022

Prime factors of 53022 are 2, 3, 8837. Prime factorization of 53022 in exponential form is:

53022 = 2¹ × 3¹ × 8837¹

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 53022

List of positive integer factors of 53022 that divides 53022 without a remainder.

1, 2, 3, 6, 8837, 17674, 26511

Step-4: Factors of 53040

List of positive integer factors of 53040 that divides 53022 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 53022 and 53040. The biggest common factor number is the GCF number.
So the greatest common factor 53022 and 53040 is 6.

Also check out the Least Common Multiple of 53022 and 53040