What is the Greatest Common Factor of 85491 and 85505?

Greatest common factor (GCF) of 85491 and 85505 is 7.

GCF(85491,85505) = 7

We will now calculate the prime factors of 85491 and 85505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85491 and 85505.

How to find the GCF of 85491 and 85505?

We will first find the prime factorization of 85491 and 85505. After we will calculate the factors of 85491 and 85505 and find the biggest common factor number .

Step-1: Prime Factorization of 85491

Prime factors of 85491 are 3, 7, 23, 59. Prime factorization of 85491 in exponential form is:

85491 = 3² × 7¹ × 23¹ × 59¹

Step-2: Prime Factorization of 85505

Prime factors of 85505 are 5, 7, 349. Prime factorization of 85505 in exponential form is:

85505 = 5¹ × 7² × 349¹

Step-3: Factors of 85491

List of positive integer factors of 85491 that divides 85491 without a remainder.

1, 3, 7, 9, 21, 23, 59, 63, 69, 161, 177, 207, 413, 483, 531, 1239, 1357, 1449, 3717, 4071, 9499, 12213, 28497

Step-4: Factors of 85505

List of positive integer factors of 85505 that divides 85491 without a remainder.

1, 5, 7, 35, 49, 245, 349, 1745, 2443, 12215, 17101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85491 and 85505. The biggest common factor number is the GCF number.
So the greatest common factor 85491 and 85505 is 7.

Also check out the Least Common Multiple of 85491 and 85505