What is the Greatest Common Factor of 86870 and 86884?

Greatest common factor (GCF) of 86870 and 86884 is 14.

GCF(86870,86884) = 14

We will now calculate the prime factors of 86870 and 86884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86870 and 86884.

How to find the GCF of 86870 and 86884?

We will first find the prime factorization of 86870 and 86884. After we will calculate the factors of 86870 and 86884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86884

Prime factors of 86884 are 2, 7, 29, 107. Prime factorization of 86884 in exponential form is:

86884 = 2² × 7¹ × 29¹ × 107¹

Step-3: Factors of 86870

List of positive integer factors of 86870 that divides 86870 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

Step-4: Factors of 86884

List of positive integer factors of 86884 that divides 86870 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 107, 116, 203, 214, 406, 428, 749, 812, 1498, 2996, 3103, 6206, 12412, 21721, 43442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86870 and 86884. The biggest common factor number is the GCF number.
So the greatest common factor 86870 and 86884 is 14.

Also check out the Least Common Multiple of 86870 and 86884