What is the Greatest Common Factor of 58471 and 58485?

Greatest common factor (GCF) of 58471 and 58485 is 7.

GCF(58471,58485) = 7

We will now calculate the prime factors of 58471 and 58485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58471 and 58485.

How to find the GCF of 58471 and 58485?

We will first find the prime factorization of 58471 and 58485. After we will calculate the factors of 58471 and 58485 and find the biggest common factor number .

Step-1: Prime Factorization of 58471

Prime factors of 58471 are 7, 8353. Prime factorization of 58471 in exponential form is:

58471 = 7¹ × 8353¹

Step-2: Prime Factorization of 58485

Prime factors of 58485 are 3, 5, 7, 557. Prime factorization of 58485 in exponential form is:

58485 = 3¹ × 5¹ × 7¹ × 557¹

Step-3: Factors of 58471

List of positive integer factors of 58471 that divides 58471 without a remainder.

1, 7, 8353

Step-4: Factors of 58485

List of positive integer factors of 58485 that divides 58471 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 557, 1671, 2785, 3899, 8355, 11697, 19495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58471 and 58485. The biggest common factor number is the GCF number.
So the greatest common factor 58471 and 58485 is 7.

Also check out the Least Common Multiple of 58471 and 58485