What is the Greatest Common Factor of 85320 and 85337?

Greatest common factor (GCF) of 85320 and 85337 is 1.

GCF(85320,85337) = 1

We will now calculate the prime factors of 85320 and 85337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85320 and 85337.

How to find the GCF of 85320 and 85337?

We will first find the prime factorization of 85320 and 85337. After we will calculate the factors of 85320 and 85337 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 85337

Prime factors of 85337 are 7, 73, 167. Prime factorization of 85337 in exponential form is:

85337 = 7¹ × 73¹ × 167¹

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 85337

List of positive integer factors of 85337 that divides 85320 without a remainder.

1, 7, 73, 167, 511, 1169, 12191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85320 and 85337. The biggest common factor number is the GCF number.
So the greatest common factor 85320 and 85337 is 1.

Also check out the Least Common Multiple of 85320 and 85337