What is the Greatest Common Factor of 85320 and 85333?

Greatest common factor (GCF) of 85320 and 85333 is 1.

GCF(85320,85333) = 1

We will now calculate the prime factors of 85320 and 85333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85320 and 85333.

How to find the GCF of 85320 and 85333?

We will first find the prime factorization of 85320 and 85333. After we will calculate the factors of 85320 and 85333 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 85333

Prime factors of 85333 are 85333. Prime factorization of 85333 in exponential form is:

85333 = 85333¹

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 85333

List of positive integer factors of 85333 that divides 85320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85320 and 85333. The biggest common factor number is the GCF number.
So the greatest common factor 85320 and 85333 is 1.

Also check out the Least Common Multiple of 85320 and 85333