What is the Greatest Common Factor of 6425 and 6435?

Greatest common factor (GCF) of 6425 and 6435 is 5.

GCF(6425,6435) = 5

We will now calculate the prime factors of 6425 and 6435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6425 and 6435.

How to find the GCF of 6425 and 6435?

We will first find the prime factorization of 6425 and 6435. After we will calculate the factors of 6425 and 6435 and find the biggest common factor number .

Step-1: Prime Factorization of 6425

Prime factors of 6425 are 5, 257. Prime factorization of 6425 in exponential form is:

6425 = 5² × 257¹

Step-2: Prime Factorization of 6435

Prime factors of 6435 are 3, 5, 11, 13. Prime factorization of 6435 in exponential form is:

6435 = 3² × 5¹ × 11¹ × 13¹

Step-3: Factors of 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1, 5, 25, 257, 1285

Step-4: Factors of 6435

List of positive integer factors of 6435 that divides 6425 without a remainder.

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6425 and 6435. The biggest common factor number is the GCF number.
So the greatest common factor 6425 and 6435 is 5.

Also check out the Least Common Multiple of 6425 and 6435