What is the Greatest Common Factor of 9490 and 9506?

Greatest common factor (GCF) of 9490 and 9506 is 2.

GCF(9490,9506) = 2

We will now calculate the prime factors of 9490 and 9506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9490 and 9506.

How to find the GCF of 9490 and 9506?

We will first find the prime factorization of 9490 and 9506. After we will calculate the factors of 9490 and 9506 and find the biggest common factor number .

Step-1: Prime Factorization of 9490

Prime factors of 9490 are 2, 5, 13, 73. Prime factorization of 9490 in exponential form is:

9490 = 2¹ × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 9506

Prime factors of 9506 are 2, 7, 97. Prime factorization of 9506 in exponential form is:

9506 = 2¹ × 7² × 97¹

Step-3: Factors of 9490

List of positive integer factors of 9490 that divides 9490 without a remainder.

1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745

Step-4: Factors of 9506

List of positive integer factors of 9506 that divides 9490 without a remainder.

1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9490 and 9506. The biggest common factor number is the GCF number.
So the greatest common factor 9490 and 9506 is 2.

Also check out the Least Common Multiple of 9490 and 9506