What is the Greatest Common Factor of 69482 and 69500?

Greatest common factor (GCF) of 69482 and 69500 is 2.

GCF(69482,69500) = 2

We will now calculate the prime factors of 69482 and 69500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69482 and 69500.

How to find the GCF of 69482 and 69500?

We will first find the prime factorization of 69482 and 69500. After we will calculate the factors of 69482 and 69500 and find the biggest common factor number .

Step-1: Prime Factorization of 69482

Prime factors of 69482 are 2, 7, 709. Prime factorization of 69482 in exponential form is:

69482 = 2¹ × 7² × 709¹

Step-2: Prime Factorization of 69500

Prime factors of 69500 are 2, 5, 139. Prime factorization of 69500 in exponential form is:

69500 = 2² × 5³ × 139¹

Step-3: Factors of 69482

List of positive integer factors of 69482 that divides 69482 without a remainder.

1, 2, 7, 14, 49, 98, 709, 1418, 4963, 9926, 34741

Step-4: Factors of 69500

List of positive integer factors of 69500 that divides 69482 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 139, 250, 278, 500, 556, 695, 1390, 2780, 3475, 6950, 13900, 17375, 34750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69482 and 69500. The biggest common factor number is the GCF number.
So the greatest common factor 69482 and 69500 is 2.

Also check out the Least Common Multiple of 69482 and 69500