What is the Greatest Common Factor of 53459 and 53472?

Greatest common factor (GCF) of 53459 and 53472 is 1.

GCF(53459,53472) = 1

We will now calculate the prime factors of 53459 and 53472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53459 and 53472.

How to find the GCF of 53459 and 53472?

We will first find the prime factorization of 53459 and 53472. After we will calculate the factors of 53459 and 53472 and find the biggest common factor number .

Step-1: Prime Factorization of 53459

Prime factors of 53459 are 7, 1091. Prime factorization of 53459 in exponential form is:

53459 = 7² × 1091¹

Step-2: Prime Factorization of 53472

Prime factors of 53472 are 2, 3, 557. Prime factorization of 53472 in exponential form is:

53472 = 2⁵ × 3¹ × 557¹

Step-3: Factors of 53459

List of positive integer factors of 53459 that divides 53459 without a remainder.

1, 7, 49, 1091, 7637

Step-4: Factors of 53472

List of positive integer factors of 53472 that divides 53459 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 557, 1114, 1671, 2228, 3342, 4456, 6684, 8912, 13368, 17824, 26736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53459 and 53472. The biggest common factor number is the GCF number.
So the greatest common factor 53459 and 53472 is 1.

Also check out the Least Common Multiple of 53459 and 53472