What is the Greatest Common Factor of 85320 and 85328?

Greatest common factor (GCF) of 85320 and 85328 is 8.

GCF(85320,85328) = 8

We will now calculate the prime factors of 85320 and 85328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85320 and 85328.

How to find the GCF of 85320 and 85328?

We will first find the prime factorization of 85320 and 85328. After we will calculate the factors of 85320 and 85328 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 85328

Prime factors of 85328 are 2, 5333. Prime factorization of 85328 in exponential form is:

85328 = 2⁴ × 5333¹

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 85328

List of positive integer factors of 85328 that divides 85320 without a remainder.

1, 2, 4, 8, 16, 5333, 10666, 21332, 42664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85320 and 85328. The biggest common factor number is the GCF number.
So the greatest common factor 85320 and 85328 is 8.

Also check out the Least Common Multiple of 85320 and 85328