What is the Greatest Common Factor of 86702 and 86708?

Greatest common factor (GCF) of 86702 and 86708 is 2.

GCF(86702,86708) = 2

We will now calculate the prime factors of 86702 and 86708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86702 and 86708.

How to find the GCF of 86702 and 86708?

We will first find the prime factorization of 86702 and 86708. After we will calculate the factors of 86702 and 86708 and find the biggest common factor number .

Step-1: Prime Factorization of 86702

Prime factors of 86702 are 2, 7, 11, 563. Prime factorization of 86702 in exponential form is:

86702 = 2¹ × 7¹ × 11¹ × 563¹

Step-2: Prime Factorization of 86708

Prime factors of 86708 are 2, 53, 409. Prime factorization of 86708 in exponential form is:

86708 = 2² × 53¹ × 409¹

Step-3: Factors of 86702

List of positive integer factors of 86702 that divides 86702 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 563, 1126, 3941, 6193, 7882, 12386, 43351

Step-4: Factors of 86708

List of positive integer factors of 86708 that divides 86702 without a remainder.

1, 2, 4, 53, 106, 212, 409, 818, 1636, 21677, 43354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86702 and 86708. The biggest common factor number is the GCF number.
So the greatest common factor 86702 and 86708 is 2.

Also check out the Least Common Multiple of 86702 and 86708