What is the Greatest Common Factor of 59456 and 59470?

Greatest common factor (GCF) of 59456 and 59470 is 2.

GCF(59456,59470) = 2

We will now calculate the prime factors of 59456 and 59470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59456 and 59470.

How to find the GCF of 59456 and 59470?

We will first find the prime factorization of 59456 and 59470. After we will calculate the factors of 59456 and 59470 and find the biggest common factor number .

Step-1: Prime Factorization of 59456

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

59456 = 2⁶ × 929¹

Step-2: Prime Factorization of 59470

Prime factors of 59470 are 2, 5, 19, 313. Prime factorization of 59470 in exponential form is:

59470 = 2¹ × 5¹ × 19¹ × 313¹

Step-3: Factors of 59456

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

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

Step-4: Factors of 59470

List of positive integer factors of 59470 that divides 59456 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 313, 626, 1565, 3130, 5947, 11894, 29735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59456 and 59470. The biggest common factor number is the GCF number.
So the greatest common factor 59456 and 59470 is 2.

Also check out the Least Common Multiple of 59456 and 59470