What is the Greatest Common Factor of 86850 and 86870?

Greatest common factor (GCF) of 86850 and 86870 is 10.

GCF(86850,86870) = 10

We will now calculate the prime factors of 86850 and 86870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86850 and 86870.

How to find the GCF of 86850 and 86870?

We will first find the prime factorization of 86850 and 86870. After we will calculate the factors of 86850 and 86870 and find the biggest common factor number .

Step-1: Prime Factorization of 86850

Prime factors of 86850 are 2, 3, 5, 193. Prime factorization of 86850 in exponential form is:

86850 = 2¹ × 3² × 5² × 193¹

Step-2: Prime Factorization of 86870

Prime factors of 86870 are 2, 5, 7, 17, 73. Prime factorization of 86870 in exponential form is:

86870 = 2¹ × 5¹ × 7¹ × 17¹ × 73¹

Step-3: Factors of 86850

List of positive integer factors of 86850 that divides 86850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 193, 225, 386, 450, 579, 965, 1158, 1737, 1930, 2895, 3474, 4825, 5790, 8685, 9650, 14475, 17370, 28950, 43425

Step-4: Factors of 86870

List of positive integer factors of 86870 that divides 86850 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 73, 85, 119, 146, 170, 238, 365, 511, 595, 730, 1022, 1190, 1241, 2482, 2555, 5110, 6205, 8687, 12410, 17374, 43435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86850 and 86870. The biggest common factor number is the GCF number.
So the greatest common factor 86850 and 86870 is 10.

Also check out the Least Common Multiple of 86850 and 86870