What is the Greatest Common Factor of 85314 and 85320?

Greatest common factor (GCF) of 85314 and 85320 is 6.

GCF(85314,85320) = 6

We will now calculate the prime factors of 85314 and 85320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85314 and 85320.

How to find the GCF of 85314 and 85320?

We will first find the prime factorization of 85314 and 85320. After we will calculate the factors of 85314 and 85320 and find the biggest common factor number .

Step-1: Prime Factorization of 85314

Prime factors of 85314 are 2, 3, 59, 241. Prime factorization of 85314 in exponential form is:

85314 = 2¹ × 3¹ × 59¹ × 241¹

Step-2: 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-3: Factors of 85314

List of positive integer factors of 85314 that divides 85314 without a remainder.

1, 2, 3, 6, 59, 118, 177, 241, 354, 482, 723, 1446, 14219, 28438, 42657

Step-4: Factors of 85320

List of positive integer factors of 85320 that divides 85314 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85314 and 85320. The biggest common factor number is the GCF number.
So the greatest common factor 85314 and 85320 is 6.

Also check out the Least Common Multiple of 85314 and 85320