What is the Greatest Common Factor of 86310 and 86320?

Greatest common factor (GCF) of 86310 and 86320 is 10.

GCF(86310,86320) = 10

We will now calculate the prime factors of 86310 and 86320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86310 and 86320.

How to find the GCF of 86310 and 86320?

We will first find the prime factorization of 86310 and 86320. After we will calculate the factors of 86310 and 86320 and find the biggest common factor number .

Step-1: Prime Factorization of 86310

Prime factors of 86310 are 2, 3, 5, 7, 137. Prime factorization of 86310 in exponential form is:

86310 = 2¹ × 3² × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 86320

Prime factors of 86320 are 2, 5, 13, 83. Prime factorization of 86320 in exponential form is:

86320 = 2⁴ × 5¹ × 13¹ × 83¹

Step-3: Factors of 86310

List of positive integer factors of 86310 that divides 86310 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 137, 210, 274, 315, 411, 630, 685, 822, 959, 1233, 1370, 1918, 2055, 2466, 2877, 4110, 4795, 5754, 6165, 8631, 9590, 12330, 14385, 17262, 28770, 43155

Step-4: Factors of 86320

List of positive integer factors of 86320 that divides 86310 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 83, 104, 130, 166, 208, 260, 332, 415, 520, 664, 830, 1040, 1079, 1328, 1660, 2158, 3320, 4316, 5395, 6640, 8632, 10790, 17264, 21580, 43160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86310 and 86320. The biggest common factor number is the GCF number.
So the greatest common factor 86310 and 86320 is 10.

Also check out the Least Common Multiple of 86310 and 86320