What is the Greatest Common Factor of 490 and 501?

Greatest common factor (GCF) of 490 and 501 is 1.

GCF(490,501) = 1

We will now calculate the prime factors of 490 and 501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 490 and 501.

How to find the GCF of 490 and 501?

We will first find the prime factorization of 490 and 501. After we will calculate the factors of 490 and 501 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 501

Prime factors of 501 are 3, 167. Prime factorization of 501 in exponential form is:

501 = 3¹ × 167¹

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 501

List of positive integer factors of 501 that divides 490 without a remainder.

1, 3, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 490 and 501. The biggest common factor number is the GCF number.
So the greatest common factor 490 and 501 is 1.

Also check out the Least Common Multiple of 490 and 501