What is the Greatest Common Factor of 478 and 490?

Greatest common factor (GCF) of 478 and 490 is 2.

GCF(478,490) = 2

We will now calculate the prime factors of 478 and 490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 478 and 490.

How to find the GCF of 478 and 490?

We will first find the prime factorization of 478 and 490. After we will calculate the factors of 478 and 490 and find the biggest common factor number .

Step-1: Prime Factorization of 478

Prime factors of 478 are 2, 239. Prime factorization of 478 in exponential form is:

478 = 2¹ × 239¹

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 478

List of positive integer factors of 478 that divides 478 without a remainder.

1, 2, 239

Step-4: Factors of 490

List of positive integer factors of 490 that divides 478 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 478 and 490. The biggest common factor number is the GCF number.
So the greatest common factor 478 and 490 is 2.

Also check out the Least Common Multiple of 478 and 490