What is the Greatest Common Factor of 2546 and 2565?

Greatest common factor (GCF) of 2546 and 2565 is 19.

GCF(2546,2565) = 19

We will now calculate the prime factors of 2546 and 2565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2546 and 2565.

How to find the GCF of 2546 and 2565?

We will first find the prime factorization of 2546 and 2565. After we will calculate the factors of 2546 and 2565 and find the biggest common factor number .

Step-1: Prime Factorization of 2546

Prime factors of 2546 are 2, 19, 67. Prime factorization of 2546 in exponential form is:

2546 = 2¹ × 19¹ × 67¹

Step-2: Prime Factorization of 2565

Prime factors of 2565 are 3, 5, 19. Prime factorization of 2565 in exponential form is:

2565 = 3³ × 5¹ × 19¹

Step-3: Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1, 2, 19, 38, 67, 134, 1273

Step-4: Factors of 2565

List of positive integer factors of 2565 that divides 2546 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2546 and 2565. The biggest common factor number is the GCF number.
So the greatest common factor 2546 and 2565 is 19.

Also check out the Least Common Multiple of 2546 and 2565