What is the Greatest Common Factor of 85312 and 85320?

Greatest common factor (GCF) of 85312 and 85320 is 8.

GCF(85312,85320) = 8

We will now calculate the prime factors of 85312 and 85320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85312 and 85320.

How to find the GCF of 85312 and 85320?

We will first find the prime factorization of 85312 and 85320. After we will calculate the factors of 85312 and 85320 and find the biggest common factor number .

Step-1: Prime Factorization of 85312

Prime factors of 85312 are 2, 31, 43. Prime factorization of 85312 in exponential form is:

85312 = 2⁶ × 31¹ × 43¹

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 85312

List of positive integer factors of 85312 that divides 85312 without a remainder.

1, 2, 4, 8, 16, 31, 32, 43, 62, 64, 86, 124, 172, 248, 344, 496, 688, 992, 1333, 1376, 1984, 2666, 2752, 5332, 10664, 21328, 42656

Step-4: Factors of 85320

List of positive integer factors of 85320 that divides 85312 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 85312 and 85320. The biggest common factor number is the GCF number.
So the greatest common factor 85312 and 85320 is 8.

Also check out the Least Common Multiple of 85312 and 85320