What is the Greatest Common Factor of 32435 and 32455?

Greatest common factor (GCF) of 32435 and 32455 is 5.

GCF(32435,32455) = 5

We will now calculate the prime factors of 32435 and 32455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32435 and 32455.

How to find the GCF of 32435 and 32455?

We will first find the prime factorization of 32435 and 32455. After we will calculate the factors of 32435 and 32455 and find the biggest common factor number .

Step-1: Prime Factorization of 32435

Prime factors of 32435 are 5, 13, 499. Prime factorization of 32435 in exponential form is:

32435 = 5¹ × 13¹ × 499¹

Step-2: Prime Factorization of 32455

Prime factors of 32455 are 5, 6491. Prime factorization of 32455 in exponential form is:

32455 = 5¹ × 6491¹

Step-3: Factors of 32435

List of positive integer factors of 32435 that divides 32435 without a remainder.

1, 5, 13, 65, 499, 2495, 6487

Step-4: Factors of 32455

List of positive integer factors of 32455 that divides 32435 without a remainder.

1, 5, 6491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32435 and 32455. The biggest common factor number is the GCF number.
So the greatest common factor 32435 and 32455 is 5.

Also check out the Least Common Multiple of 32435 and 32455