What is the Greatest Common Factor of 58485 and 58494?

Greatest common factor (GCF) of 58485 and 58494 is 3.

GCF(58485,58494) = 3

We will now calculate the prime factors of 58485 and 58494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58485 and 58494.

How to find the GCF of 58485 and 58494?

We will first find the prime factorization of 58485 and 58494. After we will calculate the factors of 58485 and 58494 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58494

Prime factors of 58494 are 2, 3, 9749. Prime factorization of 58494 in exponential form is:

58494 = 2¹ × 3¹ × 9749¹

Step-3: Factors of 58485

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

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

Step-4: Factors of 58494

List of positive integer factors of 58494 that divides 58485 without a remainder.

1, 2, 3, 6, 9749, 19498, 29247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58485 and 58494. The biggest common factor number is the GCF number.
So the greatest common factor 58485 and 58494 is 3.

Also check out the Least Common Multiple of 58485 and 58494