What is the Greatest Common Factor of 15769 and 15782?

Greatest common factor (GCF) of 15769 and 15782 is 13.

GCF(15769,15782) = 13

We will now calculate the prime factors of 15769 and 15782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15769 and 15782.

How to find the GCF of 15769 and 15782?

We will first find the prime factorization of 15769 and 15782. After we will calculate the factors of 15769 and 15782 and find the biggest common factor number .

Step-1: Prime Factorization of 15769

Prime factors of 15769 are 13, 1213. Prime factorization of 15769 in exponential form is:

15769 = 13¹ × 1213¹

Step-2: 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-3: Factors of 15769

List of positive integer factors of 15769 that divides 15769 without a remainder.

1, 13, 1213

Step-4: Factors of 15782

List of positive integer factors of 15782 that divides 15769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15769 and 15782. The biggest common factor number is the GCF number.
So the greatest common factor 15769 and 15782 is 13.

Also check out the Least Common Multiple of 15769 and 15782