What is the Greatest Common Factor of 59440 and 59445?

Greatest common factor (GCF) of 59440 and 59445 is 5.

GCF(59440,59445) = 5

We will now calculate the prime factors of 59440 and 59445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59440 and 59445.

How to find the GCF of 59440 and 59445?

We will first find the prime factorization of 59440 and 59445. After we will calculate the factors of 59440 and 59445 and find the biggest common factor number .

Step-1: Prime Factorization of 59440

Prime factors of 59440 are 2, 5, 743. Prime factorization of 59440 in exponential form is:

59440 = 2⁴ × 5¹ × 743¹

Step-2: Prime Factorization of 59445

Prime factors of 59445 are 3, 5, 1321. Prime factorization of 59445 in exponential form is:

59445 = 3² × 5¹ × 1321¹

Step-3: Factors of 59440

List of positive integer factors of 59440 that divides 59440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 743, 1486, 2972, 3715, 5944, 7430, 11888, 14860, 29720

Step-4: Factors of 59445

List of positive integer factors of 59445 that divides 59440 without a remainder.

1, 3, 5, 9, 15, 45, 1321, 3963, 6605, 11889, 19815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59440 and 59445. The biggest common factor number is the GCF number.
So the greatest common factor 59440 and 59445 is 5.

Also check out the Least Common Multiple of 59440 and 59445