What is the Greatest Common Factor of 85051 and 85068?

Greatest common factor (GCF) of 85051 and 85068 is 17.

GCF(85051,85068) = 17

We will now calculate the prime factors of 85051 and 85068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85051 and 85068.

How to find the GCF of 85051 and 85068?

We will first find the prime factorization of 85051 and 85068. After we will calculate the factors of 85051 and 85068 and find the biggest common factor number .

Step-1: Prime Factorization of 85051

Prime factors of 85051 are 17, 5003. Prime factorization of 85051 in exponential form is:

85051 = 17¹ × 5003¹

Step-2: Prime Factorization of 85068

Prime factors of 85068 are 2, 3, 17, 139. Prime factorization of 85068 in exponential form is:

85068 = 2² × 3² × 17¹ × 139¹

Step-3: Factors of 85051

List of positive integer factors of 85051 that divides 85051 without a remainder.

1, 17, 5003

Step-4: Factors of 85068

List of positive integer factors of 85068 that divides 85051 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 139, 153, 204, 278, 306, 417, 556, 612, 834, 1251, 1668, 2363, 2502, 4726, 5004, 7089, 9452, 14178, 21267, 28356, 42534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85051 and 85068. The biggest common factor number is the GCF number.
So the greatest common factor 85051 and 85068 is 17.

Also check out the Least Common Multiple of 85051 and 85068