What is the Greatest Common Factor of 490 and 499?

Greatest common factor (GCF) of 490 and 499 is 1.

GCF(490,499) = 1

We will now calculate the prime factors of 490 and 499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 490 and 499.

How to find the GCF of 490 and 499?

We will first find the prime factorization of 490 and 499. After we will calculate the factors of 490 and 499 and find the biggest common factor number .

Step-1: Prime Factorization of 490

Prime factors of 490 are 2, 5, 7. Prime factorization of 490 in exponential form is:

490 = 2¹ × 5¹ × 7²

Step-2: Prime Factorization of 499

Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:

499 = 499¹

Step-3: Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245

Step-4: Factors of 499

List of positive integer factors of 499 that divides 490 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 490 and 499. The biggest common factor number is the GCF number.
So the greatest common factor 490 and 499 is 1.

Also check out the Least Common Multiple of 490 and 499