What is the Greatest Common Factor of 8435 and 8455?

Greatest common factor (GCF) of 8435 and 8455 is 5.

GCF(8435,8455) = 5

We will now calculate the prime factors of 8435 and 8455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8435 and 8455.

How to find the GCF of 8435 and 8455?

We will first find the prime factorization of 8435 and 8455. After we will calculate the factors of 8435 and 8455 and find the biggest common factor number .

Step-1: Prime Factorization of 8435

Prime factors of 8435 are 5, 7, 241. Prime factorization of 8435 in exponential form is:

8435 = 5¹ × 7¹ × 241¹

Step-2: Prime Factorization of 8455

Prime factors of 8455 are 5, 19, 89. Prime factorization of 8455 in exponential form is:

8455 = 5¹ × 19¹ × 89¹

Step-3: Factors of 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1, 5, 7, 35, 241, 1205, 1687

Step-4: Factors of 8455

List of positive integer factors of 8455 that divides 8435 without a remainder.

1, 5, 19, 89, 95, 445, 1691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8435 and 8455. The biggest common factor number is the GCF number.
So the greatest common factor 8435 and 8455 is 5.

Also check out the Least Common Multiple of 8435 and 8455