What is the Greatest Common Factor of 70500 and 70509?

Greatest common factor (GCF) of 70500 and 70509 is 3.

GCF(70500,70509) = 3

We will now calculate the prime factors of 70500 and 70509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70500 and 70509.

How to find the GCF of 70500 and 70509?

We will first find the prime factorization of 70500 and 70509. After we will calculate the factors of 70500 and 70509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70509

Prime factors of 70509 are 3, 19, 1237. Prime factorization of 70509 in exponential form is:

70509 = 3¹ × 19¹ × 1237¹

Step-3: Factors of 70500

List of positive integer factors of 70500 that divides 70500 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

Step-4: Factors of 70509

List of positive integer factors of 70509 that divides 70500 without a remainder.

1, 3, 19, 57, 1237, 3711, 23503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70500 and 70509. The biggest common factor number is the GCF number.
So the greatest common factor 70500 and 70509 is 3.

Also check out the Least Common Multiple of 70500 and 70509