What is the Greatest Common Factor of 85320 and 85330?

Greatest common factor (GCF) of 85320 and 85330 is 10.

GCF(85320,85330) = 10

We will now calculate the prime factors of 85320 and 85330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85320 and 85330.

How to find the GCF of 85320 and 85330?

We will first find the prime factorization of 85320 and 85330. After we will calculate the factors of 85320 and 85330 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 85330

Prime factors of 85330 are 2, 5, 7, 23, 53. Prime factorization of 85330 in exponential form is:

85330 = 2¹ × 5¹ × 7¹ × 23¹ × 53¹

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 85330

List of positive integer factors of 85330 that divides 85320 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 53, 70, 106, 115, 161, 230, 265, 322, 371, 530, 742, 805, 1219, 1610, 1855, 2438, 3710, 6095, 8533, 12190, 17066, 42665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85320 and 85330. The biggest common factor number is the GCF number.
So the greatest common factor 85320 and 85330 is 10.

Also check out the Least Common Multiple of 85320 and 85330