What is the Greatest Common Factor of 85045 and 85055?

Greatest common factor (GCF) of 85045 and 85055 is 5.

GCF(85045,85055) = 5

We will now calculate the prime factors of 85045 and 85055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85045 and 85055.

How to find the GCF of 85045 and 85055?

We will first find the prime factorization of 85045 and 85055. After we will calculate the factors of 85045 and 85055 and find the biggest common factor number .

Step-1: Prime Factorization of 85045

Prime factors of 85045 are 5, 73, 233. Prime factorization of 85045 in exponential form is:

85045 = 5¹ × 73¹ × 233¹

Step-2: Prime Factorization of 85055

Prime factors of 85055 are 5, 17011. Prime factorization of 85055 in exponential form is:

85055 = 5¹ × 17011¹

Step-3: Factors of 85045

List of positive integer factors of 85045 that divides 85045 without a remainder.

1, 5, 73, 233, 365, 1165, 17009

Step-4: Factors of 85055

List of positive integer factors of 85055 that divides 85045 without a remainder.

1, 5, 17011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85045 and 85055. The biggest common factor number is the GCF number.
So the greatest common factor 85045 and 85055 is 5.

Also check out the Least Common Multiple of 85045 and 85055