What is the Greatest Common Factor of 85104 and 85119?

Greatest common factor (GCF) of 85104 and 85119 is 3.

GCF(85104,85119) = 3

We will now calculate the prime factors of 85104 and 85119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85104 and 85119.

How to find the GCF of 85104 and 85119?

We will first find the prime factorization of 85104 and 85119. After we will calculate the factors of 85104 and 85119 and find the biggest common factor number .

Step-1: Prime Factorization of 85104

Prime factors of 85104 are 2, 3, 197. Prime factorization of 85104 in exponential form is:

85104 = 2⁴ × 3³ × 197¹

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 85104

List of positive integer factors of 85104 that divides 85104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 197, 216, 394, 432, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 5319, 7092, 9456, 10638, 14184, 21276, 28368, 42552

Step-4: Factors of 85119

List of positive integer factors of 85119 that divides 85104 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85104 and 85119. The biggest common factor number is the GCF number.
So the greatest common factor 85104 and 85119 is 3.

Also check out the Least Common Multiple of 85104 and 85119