What is the Greatest Common Factor of 69782 and 69800?

Greatest common factor (GCF) of 69782 and 69800 is 2.

GCF(69782,69800) = 2

We will now calculate the prime factors of 69782 and 69800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69782 and 69800.

How to find the GCF of 69782 and 69800?

We will first find the prime factorization of 69782 and 69800. After we will calculate the factors of 69782 and 69800 and find the biggest common factor number .

Step-1: Prime Factorization of 69782

Prime factors of 69782 are 2, 23, 37, 41. Prime factorization of 69782 in exponential form is:

69782 = 2¹ × 23¹ × 37¹ × 41¹

Step-2: Prime Factorization of 69800

Prime factors of 69800 are 2, 5, 349. Prime factorization of 69800 in exponential form is:

69800 = 2³ × 5² × 349¹

Step-3: Factors of 69782

List of positive integer factors of 69782 that divides 69782 without a remainder.

1, 2, 23, 37, 41, 46, 74, 82, 851, 943, 1517, 1702, 1886, 3034, 34891

Step-4: Factors of 69800

List of positive integer factors of 69800 that divides 69782 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 349, 698, 1396, 1745, 2792, 3490, 6980, 8725, 13960, 17450, 34900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69782 and 69800. The biggest common factor number is the GCF number.
So the greatest common factor 69782 and 69800 is 2.

Also check out the Least Common Multiple of 69782 and 69800