What is the Greatest Common Factor of 15785 and 15792?

Greatest common factor (GCF) of 15785 and 15792 is 7.

GCF(15785,15792) = 7

We will now calculate the prime factors of 15785 and 15792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15785 and 15792.

How to find the GCF of 15785 and 15792?

We will first find the prime factorization of 15785 and 15792. After we will calculate the factors of 15785 and 15792 and find the biggest common factor number .

Step-1: Prime Factorization of 15785

Prime factors of 15785 are 5, 7, 11, 41. Prime factorization of 15785 in exponential form is:

15785 = 5¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 15792

Prime factors of 15792 are 2, 3, 7, 47. Prime factorization of 15792 in exponential form is:

15792 = 2⁴ × 3¹ × 7¹ × 47¹

Step-3: Factors of 15785

List of positive integer factors of 15785 that divides 15785 without a remainder.

1, 5, 7, 11, 35, 41, 55, 77, 205, 287, 385, 451, 1435, 2255, 3157

Step-4: Factors of 15792

List of positive integer factors of 15792 that divides 15785 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 47, 48, 56, 84, 94, 112, 141, 168, 188, 282, 329, 336, 376, 564, 658, 752, 987, 1128, 1316, 1974, 2256, 2632, 3948, 5264, 7896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15785 and 15792. The biggest common factor number is the GCF number.
So the greatest common factor 15785 and 15792 is 7.

Also check out the Least Common Multiple of 15785 and 15792