What is the Greatest Common Factor of 85053 and 85062?

Greatest common factor (GCF) of 85053 and 85062 is 3.

GCF(85053,85062) = 3

We will now calculate the prime factors of 85053 and 85062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85053 and 85062.

How to find the GCF of 85053 and 85062?

We will first find the prime factorization of 85053 and 85062. After we will calculate the factors of 85053 and 85062 and find the biggest common factor number .

Step-1: Prime Factorization of 85053

Prime factors of 85053 are 3, 28351. Prime factorization of 85053 in exponential form is:

85053 = 3¹ × 28351¹

Step-2: Prime Factorization of 85062

Prime factors of 85062 are 2, 3, 14177. Prime factorization of 85062 in exponential form is:

85062 = 2¹ × 3¹ × 14177¹

Step-3: Factors of 85053

List of positive integer factors of 85053 that divides 85053 without a remainder.

1, 3, 28351

Step-4: Factors of 85062

List of positive integer factors of 85062 that divides 85053 without a remainder.

1, 2, 3, 6, 14177, 28354, 42531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85053 and 85062. The biggest common factor number is the GCF number.
So the greatest common factor 85053 and 85062 is 3.

Also check out the Least Common Multiple of 85053 and 85062