What is the Greatest Common Factor of 86962 and 86978?

Greatest common factor (GCF) of 86962 and 86978 is 2.

GCF(86962,86978) = 2

We will now calculate the prime factors of 86962 and 86978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86962 and 86978.

How to find the GCF of 86962 and 86978?

We will first find the prime factorization of 86962 and 86978. After we will calculate the factors of 86962 and 86978 and find the biggest common factor number .

Step-1: Prime Factorization of 86962

Prime factors of 86962 are 2, 43481. Prime factorization of 86962 in exponential form is:

86962 = 2¹ × 43481¹

Step-2: 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-3: Factors of 86962

List of positive integer factors of 86962 that divides 86962 without a remainder.

1, 2, 43481

Step-4: Factors of 86978

List of positive integer factors of 86978 that divides 86962 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86962 and 86978. The biggest common factor number is the GCF number.
So the greatest common factor 86962 and 86978 is 2.

Also check out the Least Common Multiple of 86962 and 86978