What is the Greatest Common Factor of 6565 and 6574?

Greatest common factor (GCF) of 6565 and 6574 is 1.

GCF(6565,6574) = 1

We will now calculate the prime factors of 6565 and 6574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6565 and 6574.

How to find the GCF of 6565 and 6574?

We will first find the prime factorization of 6565 and 6574. After we will calculate the factors of 6565 and 6574 and find the biggest common factor number .

Step-1: Prime Factorization of 6565

Prime factors of 6565 are 5, 13, 101. Prime factorization of 6565 in exponential form is:

6565 = 5¹ × 13¹ × 101¹

Step-2: Prime Factorization of 6574

Prime factors of 6574 are 2, 19, 173. Prime factorization of 6574 in exponential form is:

6574 = 2¹ × 19¹ × 173¹

Step-3: Factors of 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1, 5, 13, 65, 101, 505, 1313

Step-4: Factors of 6574

List of positive integer factors of 6574 that divides 6565 without a remainder.

1, 2, 19, 38, 173, 346, 3287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6565 and 6574. The biggest common factor number is the GCF number.
So the greatest common factor 6565 and 6574 is 1.

Also check out the Least Common Multiple of 6565 and 6574