What is the Greatest Common Factor of 490 and 502?

Greatest common factor (GCF) of 490 and 502 is 2.

GCF(490,502) = 2

We will now calculate the prime factors of 490 and 502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 490 and 502.

How to find the GCF of 490 and 502?

We will first find the prime factorization of 490 and 502. After we will calculate the factors of 490 and 502 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 502

Prime factors of 502 are 2, 251. Prime factorization of 502 in exponential form is:

502 = 2¹ × 251¹

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 502

List of positive integer factors of 502 that divides 490 without a remainder.

1, 2, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 490 and 502. The biggest common factor number is the GCF number.
So the greatest common factor 490 and 502 is 2.

Also check out the Least Common Multiple of 490 and 502