What is the Greatest Common Factor of 85102 and 85119?

Greatest common factor (GCF) of 85102 and 85119 is 17.

GCF(85102,85119) = 17

We will now calculate the prime factors of 85102 and 85119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85102 and 85119.

How to find the GCF of 85102 and 85119?

We will first find the prime factorization of 85102 and 85119. After we will calculate the factors of 85102 and 85119 and find the biggest common factor number .

Step-1: Prime Factorization of 85102

Prime factors of 85102 are 2, 17, 2503. Prime factorization of 85102 in exponential form is:

85102 = 2¹ × 17¹ × 2503¹

Step-2: Prime Factorization of 85119

Prime factors of 85119 are 3, 17, 1669. Prime factorization of 85119 in exponential form is:

85119 = 3¹ × 17¹ × 1669¹

Step-3: Factors of 85102

List of positive integer factors of 85102 that divides 85102 without a remainder.

1, 2, 17, 34, 2503, 5006, 42551

Step-4: Factors of 85119

List of positive integer factors of 85119 that divides 85102 without a remainder.

1, 3, 17, 51, 1669, 5007, 28373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85102 and 85119. The biggest common factor number is the GCF number.
So the greatest common factor 85102 and 85119 is 17.

Also check out the Least Common Multiple of 85102 and 85119