What is the Greatest Common Factor of 59440 and 59456?

Greatest common factor (GCF) of 59440 and 59456 is 16.

GCF(59440,59456) = 16

We will now calculate the prime factors of 59440 and 59456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59440 and 59456.

How to find the GCF of 59440 and 59456?

We will first find the prime factorization of 59440 and 59456. After we will calculate the factors of 59440 and 59456 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 59456

Prime factors of 59456 are 2, 929. Prime factorization of 59456 in exponential form is:

59456 = 2⁶ × 929¹

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 59456

List of positive integer factors of 59456 that divides 59440 without a remainder.

1, 2, 4, 8, 16, 32, 64, 929, 1858, 3716, 7432, 14864, 29728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59440 and 59456. The biggest common factor number is the GCF number.
So the greatest common factor 59440 and 59456 is 16.

Also check out the Least Common Multiple of 59440 and 59456