What is the Greatest Common Factor of 7482 and 7490?

Greatest common factor (GCF) of 7482 and 7490 is 2.

GCF(7482,7490) = 2

We will now calculate the prime factors of 7482 and 7490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7482 and 7490.

How to find the GCF of 7482 and 7490?

We will first find the prime factorization of 7482 and 7490. After we will calculate the factors of 7482 and 7490 and find the biggest common factor number .

Step-1: Prime Factorization of 7482

Prime factors of 7482 are 2, 3, 29, 43. Prime factorization of 7482 in exponential form is:

7482 = 2¹ × 3¹ × 29¹ × 43¹

Step-2: Prime Factorization of 7490

Prime factors of 7490 are 2, 5, 7, 107. Prime factorization of 7490 in exponential form is:

7490 = 2¹ × 5¹ × 7¹ × 107¹

Step-3: Factors of 7482

List of positive integer factors of 7482 that divides 7482 without a remainder.

1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741

Step-4: Factors of 7490

List of positive integer factors of 7490 that divides 7482 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7482 and 7490. The biggest common factor number is the GCF number.
So the greatest common factor 7482 and 7490 is 2.

Also check out the Least Common Multiple of 7482 and 7490