What is the Greatest Common Factor of 59456 and 59469?

Greatest common factor (GCF) of 59456 and 59469 is 1.

GCF(59456,59469) = 1

We will now calculate the prime factors of 59456 and 59469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59456 and 59469.

How to find the GCF of 59456 and 59469?

We will first find the prime factorization of 59456 and 59469. After we will calculate the factors of 59456 and 59469 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 59469

Prime factors of 59469 are 3, 43, 461. Prime factorization of 59469 in exponential form is:

59469 = 3¹ × 43¹ × 461¹

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 59469

List of positive integer factors of 59469 that divides 59456 without a remainder.

1, 3, 43, 129, 461, 1383, 19823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59456 and 59469. The biggest common factor number is the GCF number.
So the greatest common factor 59456 and 59469 is 1.

Also check out the Least Common Multiple of 59456 and 59469