What is the Greatest Common Factor of 86974 and 86978?

Greatest common factor (GCF) of 86974 and 86978 is 2.

GCF(86974,86978) = 2

We will now calculate the prime factors of 86974 and 86978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86974 and 86978.

How to find the GCF of 86974 and 86978?

We will first find the prime factorization of 86974 and 86978. After we will calculate the factors of 86974 and 86978 and find the biggest common factor number .

Step-1: Prime Factorization of 86974

Prime factors of 86974 are 2, 43487. Prime factorization of 86974 in exponential form is:

86974 = 2¹ × 43487¹

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 86974

List of positive integer factors of 86974 that divides 86974 without a remainder.

1, 2, 43487

Step-4: Factors of 86978

List of positive integer factors of 86978 that divides 86974 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86974 and 86978. The biggest common factor number is the GCF number.
So the greatest common factor 86974 and 86978 is 2.

Also check out the Least Common Multiple of 86974 and 86978