What is the Greatest Common Factor of 15782 and 15800?

Greatest common factor (GCF) of 15782 and 15800 is 2.

GCF(15782,15800) = 2

We will now calculate the prime factors of 15782 and 15800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15782 and 15800.

How to find the GCF of 15782 and 15800?

We will first find the prime factorization of 15782 and 15800. After we will calculate the factors of 15782 and 15800 and find the biggest common factor number .

Step-1: Prime Factorization of 15782

Prime factors of 15782 are 2, 13, 607. Prime factorization of 15782 in exponential form is:

15782 = 2¹ × 13¹ × 607¹

Step-2: Prime Factorization of 15800

Prime factors of 15800 are 2, 5, 79. Prime factorization of 15800 in exponential form is:

15800 = 2³ × 5² × 79¹

Step-3: Factors of 15782

List of positive integer factors of 15782 that divides 15782 without a remainder.

1, 2, 13, 26, 607, 1214, 7891

Step-4: Factors of 15800

List of positive integer factors of 15800 that divides 15782 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 79, 100, 158, 200, 316, 395, 632, 790, 1580, 1975, 3160, 3950, 7900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15782 and 15800. The biggest common factor number is the GCF number.
So the greatest common factor 15782 and 15800 is 2.

Also check out the Least Common Multiple of 15782 and 15800