What is the Greatest Common Factor of 6461 and 6469?

Greatest common factor (GCF) of 6461 and 6469 is 1.

GCF(6461,6469) = 1

We will now calculate the prime factors of 6461 and 6469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6461 and 6469.

How to find the GCF of 6461 and 6469?

We will first find the prime factorization of 6461 and 6469. After we will calculate the factors of 6461 and 6469 and find the biggest common factor number .

Step-1: Prime Factorization of 6461

Prime factors of 6461 are 7, 13, 71. Prime factorization of 6461 in exponential form is:

6461 = 7¹ × 13¹ × 71¹

Step-2: Prime Factorization of 6469

Prime factors of 6469 are 6469. Prime factorization of 6469 in exponential form is:

6469 = 6469¹

Step-3: Factors of 6461

List of positive integer factors of 6461 that divides 6461 without a remainder.

1, 7, 13, 71, 91, 497, 923

Step-4: Factors of 6469

List of positive integer factors of 6469 that divides 6461 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6461 and 6469. The biggest common factor number is the GCF number.
So the greatest common factor 6461 and 6469 is 1.

Also check out the Least Common Multiple of 6461 and 6469