What is the Greatest Common Factor of 59485 and 59490?

Greatest common factor (GCF) of 59485 and 59490 is 5.

GCF(59485,59490) = 5

We will now calculate the prime factors of 59485 and 59490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59485 and 59490.

How to find the GCF of 59485 and 59490?

We will first find the prime factorization of 59485 and 59490. After we will calculate the factors of 59485 and 59490 and find the biggest common factor number .

Step-1: Prime Factorization of 59485

Prime factors of 59485 are 5, 11897. Prime factorization of 59485 in exponential form is:

59485 = 5¹ × 11897¹

Step-2: Prime Factorization of 59490

Prime factors of 59490 are 2, 3, 5, 661. Prime factorization of 59490 in exponential form is:

59490 = 2¹ × 3² × 5¹ × 661¹

Step-3: Factors of 59485

List of positive integer factors of 59485 that divides 59485 without a remainder.

1, 5, 11897

Step-4: Factors of 59490

List of positive integer factors of 59490 that divides 59485 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 661, 1322, 1983, 3305, 3966, 5949, 6610, 9915, 11898, 19830, 29745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59485 and 59490. The biggest common factor number is the GCF number.
So the greatest common factor 59485 and 59490 is 5.

Also check out the Least Common Multiple of 59485 and 59490