What is the Greatest Common Factor of 85149 and 85153?

Greatest common factor (GCF) of 85149 and 85153 is 1.

GCF(85149,85153) = 1

We will now calculate the prime factors of 85149 and 85153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85149 and 85153.

How to find the GCF of 85149 and 85153?

We will first find the prime factorization of 85149 and 85153. After we will calculate the factors of 85149 and 85153 and find the biggest common factor number .

Step-1: Prime Factorization of 85149

Prime factors of 85149 are 3, 9461. Prime factorization of 85149 in exponential form is:

85149 = 3² × 9461¹

Step-2: Prime Factorization of 85153

Prime factors of 85153 are 17, 5009. Prime factorization of 85153 in exponential form is:

85153 = 17¹ × 5009¹

Step-3: Factors of 85149

List of positive integer factors of 85149 that divides 85149 without a remainder.

1, 3, 9, 9461, 28383

Step-4: Factors of 85153

List of positive integer factors of 85153 that divides 85149 without a remainder.

1, 17, 5009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85149 and 85153. The biggest common factor number is the GCF number.
So the greatest common factor 85149 and 85153 is 1.

Also check out the Least Common Multiple of 85149 and 85153