What is the Greatest Common Factor of 65429 and 65441?

Greatest common factor (GCF) of 65429 and 65441 is 1.

GCF(65429,65441) = 1

We will now calculate the prime factors of 65429 and 65441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65429 and 65441.

How to find the GCF of 65429 and 65441?

We will first find the prime factorization of 65429 and 65441. After we will calculate the factors of 65429 and 65441 and find the biggest common factor number .

Step-1: Prime Factorization of 65429

Prime factors of 65429 are 7, 13, 719. Prime factorization of 65429 in exponential form is:

65429 = 7¹ × 13¹ × 719¹

Step-2: Prime Factorization of 65441

Prime factors of 65441 are 31, 2111. Prime factorization of 65441 in exponential form is:

65441 = 31¹ × 2111¹

Step-3: Factors of 65429

List of positive integer factors of 65429 that divides 65429 without a remainder.

1, 7, 13, 91, 719, 5033, 9347

Step-4: Factors of 65441

List of positive integer factors of 65441 that divides 65429 without a remainder.

1, 31, 2111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65429 and 65441. The biggest common factor number is the GCF number.
So the greatest common factor 65429 and 65441 is 1.

Also check out the Least Common Multiple of 65429 and 65441