What is the Greatest Common Factor of 59490 and 59506?

Greatest common factor (GCF) of 59490 and 59506 is 2.

GCF(59490,59506) = 2

We will now calculate the prime factors of 59490 and 59506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59490 and 59506.

How to find the GCF of 59490 and 59506?

We will first find the prime factorization of 59490 and 59506. After we will calculate the factors of 59490 and 59506 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59506

Prime factors of 59506 are 2, 29753. Prime factorization of 59506 in exponential form is:

59506 = 2¹ × 29753¹

Step-3: Factors of 59490

List of positive integer factors of 59490 that divides 59490 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

Step-4: Factors of 59506

List of positive integer factors of 59506 that divides 59490 without a remainder.

1, 2, 29753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59490 and 59506. The biggest common factor number is the GCF number.
So the greatest common factor 59490 and 59506 is 2.

Also check out the Least Common Multiple of 59490 and 59506