What is the Greatest Common Factor of 85302 and 85320?

Greatest common factor (GCF) of 85302 and 85320 is 18.

GCF(85302,85320) = 18

We will now calculate the prime factors of 85302 and 85320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85302 and 85320.

How to find the GCF of 85302 and 85320?

We will first find the prime factorization of 85302 and 85320. After we will calculate the factors of 85302 and 85320 and find the biggest common factor number .

Step-1: Prime Factorization of 85302

Prime factors of 85302 are 2, 3, 7, 677. Prime factorization of 85302 in exponential form is:

85302 = 2¹ × 3² × 7¹ × 677¹

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 85302

List of positive integer factors of 85302 that divides 85302 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 677, 1354, 2031, 4062, 4739, 6093, 9478, 12186, 14217, 28434, 42651

Step-4: Factors of 85320

List of positive integer factors of 85320 that divides 85302 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 85302 and 85320. The biggest common factor number is the GCF number.
So the greatest common factor 85302 and 85320 is 18.

Also check out the Least Common Multiple of 85302 and 85320