What is the Greatest Common Factor of 86071 and 86088?

Greatest common factor (GCF) of 86071 and 86088 is 17.

GCF(86071,86088) = 17

We will now calculate the prime factors of 86071 and 86088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86071 and 86088.

How to find the GCF of 86071 and 86088?

We will first find the prime factorization of 86071 and 86088. After we will calculate the factors of 86071 and 86088 and find the biggest common factor number .

Step-1: Prime Factorization of 86071

Prime factors of 86071 are 17, 61, 83. Prime factorization of 86071 in exponential form is:

86071 = 17¹ × 61¹ × 83¹

Step-2: Prime Factorization of 86088

Prime factors of 86088 are 2, 3, 17, 211. Prime factorization of 86088 in exponential form is:

86088 = 2³ × 3¹ × 17¹ × 211¹

Step-3: Factors of 86071

List of positive integer factors of 86071 that divides 86071 without a remainder.

1, 17, 61, 83, 1037, 1411, 5063

Step-4: Factors of 86088

List of positive integer factors of 86088 that divides 86071 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 211, 408, 422, 633, 844, 1266, 1688, 2532, 3587, 5064, 7174, 10761, 14348, 21522, 28696, 43044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86071 and 86088. The biggest common factor number is the GCF number.
So the greatest common factor 86071 and 86088 is 17.

Also check out the Least Common Multiple of 86071 and 86088