What is the Greatest Common Factor of 96455 and 96465?

Greatest common factor (GCF) of 96455 and 96465 is 5.

GCF(96455,96465) = 5

We will now calculate the prime factors of 96455 and 96465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96455 and 96465.

How to find the GCF of 96455 and 96465?

We will first find the prime factorization of 96455 and 96465. After we will calculate the factors of 96455 and 96465 and find the biggest common factor number .

Step-1: Prime Factorization of 96455

Prime factors of 96455 are 5, 101, 191. Prime factorization of 96455 in exponential form is:

96455 = 5¹ × 101¹ × 191¹

Step-2: Prime Factorization of 96465

Prime factors of 96465 are 3, 5, 59, 109. Prime factorization of 96465 in exponential form is:

96465 = 3¹ × 5¹ × 59¹ × 109¹

Step-3: Factors of 96455

List of positive integer factors of 96455 that divides 96455 without a remainder.

1, 5, 101, 191, 505, 955, 19291

Step-4: Factors of 96465

List of positive integer factors of 96465 that divides 96455 without a remainder.

1, 3, 5, 15, 59, 109, 177, 295, 327, 545, 885, 1635, 6431, 19293, 32155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96455 and 96465. The biggest common factor number is the GCF number.
So the greatest common factor 96455 and 96465 is 5.

Also check out the Least Common Multiple of 96455 and 96465