What is the Greatest Common Factor of 70494 and 70500?

Greatest common factor (GCF) of 70494 and 70500 is 6.

GCF(70494,70500) = 6

We will now calculate the prime factors of 70494 and 70500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70494 and 70500.

How to find the GCF of 70494 and 70500?

We will first find the prime factorization of 70494 and 70500. After we will calculate the factors of 70494 and 70500 and find the biggest common factor number .

Step-1: Prime Factorization of 70494

Prime factors of 70494 are 2, 3, 31, 379. Prime factorization of 70494 in exponential form is:

70494 = 2¹ × 3¹ × 31¹ × 379¹

Step-2: Prime Factorization of 70500

Prime factors of 70500 are 2, 3, 5, 47. Prime factorization of 70500 in exponential form is:

70500 = 2² × 3¹ × 5³ × 47¹

Step-3: Factors of 70494

List of positive integer factors of 70494 that divides 70494 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 379, 758, 1137, 2274, 11749, 23498, 35247

Step-4: Factors of 70500

List of positive integer factors of 70500 that divides 70494 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 47, 50, 60, 75, 94, 100, 125, 141, 150, 188, 235, 250, 282, 300, 375, 470, 500, 564, 705, 750, 940, 1175, 1410, 1500, 2350, 2820, 3525, 4700, 5875, 7050, 11750, 14100, 17625, 23500, 35250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70494 and 70500. The biggest common factor number is the GCF number.
So the greatest common factor 70494 and 70500 is 6.

Also check out the Least Common Multiple of 70494 and 70500