What is the Greatest Common Factor of 86978 and 86986?

Greatest common factor (GCF) of 86978 and 86986 is 2.

GCF(86978,86986) = 2

We will now calculate the prime factors of 86978 and 86986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86978 and 86986.

How to find the GCF of 86978 and 86986?

We will first find the prime factorization of 86978 and 86986. After we will calculate the factors of 86978 and 86986 and find the biggest common factor number .

Step-1: Prime Factorization of 86978

Prime factors of 86978 are 2, 157, 277. Prime factorization of 86978 in exponential form is:

86978 = 2¹ × 157¹ × 277¹

Step-2: Prime Factorization of 86986

Prime factors of 86986 are 2, 23, 31, 61. Prime factorization of 86986 in exponential form is:

86986 = 2¹ × 23¹ × 31¹ × 61¹

Step-3: Factors of 86978

List of positive integer factors of 86978 that divides 86978 without a remainder.

1, 2, 157, 277, 314, 554, 43489

Step-4: Factors of 86986

List of positive integer factors of 86986 that divides 86978 without a remainder.

1, 2, 23, 31, 46, 61, 62, 122, 713, 1403, 1426, 1891, 2806, 3782, 43493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86978 and 86986. The biggest common factor number is the GCF number.
So the greatest common factor 86978 and 86986 is 2.

Also check out the Least Common Multiple of 86978 and 86986