What is the Greatest Common Factor of 474 and 490?

Greatest common factor (GCF) of 474 and 490 is 2.

GCF(474,490) = 2

We will now calculate the prime factors of 474 and 490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 474 and 490.

How to find the GCF of 474 and 490?

We will first find the prime factorization of 474 and 490. After we will calculate the factors of 474 and 490 and find the biggest common factor number .

Step-1: Prime Factorization of 474

Prime factors of 474 are 2, 3, 79. Prime factorization of 474 in exponential form is:

474 = 2¹ × 3¹ × 79¹

Step-2: 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-3: Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237

Step-4: Factors of 490

List of positive integer factors of 490 that divides 474 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 474 and 490. The biggest common factor number is the GCF number.
So the greatest common factor 474 and 490 is 2.

Also check out the Least Common Multiple of 474 and 490