What is the Greatest Common Factor of 85320 and 85338?

Greatest common factor (GCF) of 85320 and 85338 is 18.

GCF(85320,85338) = 18

We will now calculate the prime factors of 85320 and 85338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85320 and 85338.

How to find the GCF of 85320 and 85338?

We will first find the prime factorization of 85320 and 85338. After we will calculate the factors of 85320 and 85338 and find the biggest common factor number .

Step-1: Prime Factorization of 85320

Prime factors of 85320 are 2, 3, 5, 79. Prime factorization of 85320 in exponential form is:

85320 = 2³ × 3³ × 5¹ × 79¹

Step-2: Prime Factorization of 85338

Prime factors of 85338 are 2, 3, 11, 431. Prime factorization of 85338 in exponential form is:

85338 = 2¹ × 3² × 11¹ × 431¹

Step-3: Factors of 85320

List of positive integer factors of 85320 that divides 85320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 79, 90, 108, 120, 135, 158, 180, 216, 237, 270, 316, 360, 395, 474, 540, 632, 711, 790, 948, 1080, 1185, 1422, 1580, 1896, 2133, 2370, 2844, 3160, 3555, 4266, 4740, 5688, 7110, 8532, 9480, 10665, 14220, 17064, 21330, 28440, 42660

Step-4: Factors of 85338

List of positive integer factors of 85338 that divides 85320 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 431, 862, 1293, 2586, 3879, 4741, 7758, 9482, 14223, 28446, 42669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85320 and 85338. The biggest common factor number is the GCF number.
So the greatest common factor 85320 and 85338 is 18.

Also check out the Least Common Multiple of 85320 and 85338