What is the Greatest Common Factor of 52440 and 52445?

Greatest common factor (GCF) of 52440 and 52445 is 5.

GCF(52440,52445) = 5

We will now calculate the prime factors of 52440 and 52445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52440 and 52445.

How to find the GCF of 52440 and 52445?

We will first find the prime factorization of 52440 and 52445. After we will calculate the factors of 52440 and 52445 and find the biggest common factor number .

Step-1: Prime Factorization of 52440

Prime factors of 52440 are 2, 3, 5, 19, 23. Prime factorization of 52440 in exponential form is:

52440 = 2³ × 3¹ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 52445

Prime factors of 52445 are 5, 17, 617. Prime factorization of 52445 in exponential form is:

52445 = 5¹ × 17¹ × 617¹

Step-3: Factors of 52440

List of positive integer factors of 52440 that divides 52440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 23, 24, 30, 38, 40, 46, 57, 60, 69, 76, 92, 95, 114, 115, 120, 138, 152, 184, 190, 228, 230, 276, 285, 345, 380, 437, 456, 460, 552, 570, 690, 760, 874, 920, 1140, 1311, 1380, 1748, 2185, 2280, 2622, 2760, 3496, 4370, 5244, 6555, 8740, 10488, 13110, 17480, 26220

Step-4: Factors of 52445

List of positive integer factors of 52445 that divides 52440 without a remainder.

1, 5, 17, 85, 617, 3085, 10489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52440 and 52445. The biggest common factor number is the GCF number.
So the greatest common factor 52440 and 52445 is 5.

Also check out the Least Common Multiple of 52440 and 52445