What is the Greatest Common Factor of 78968 and 78986?

Greatest common factor (GCF) of 78968 and 78986 is 2.

GCF(78968,78986) = 2

We will now calculate the prime factors of 78968 and 78986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78968 and 78986.

How to find the GCF of 78968 and 78986?

We will first find the prime factorization of 78968 and 78986. After we will calculate the factors of 78968 and 78986 and find the biggest common factor number .

Step-1: Prime Factorization of 78968

Prime factors of 78968 are 2, 9871. Prime factorization of 78968 in exponential form is:

78968 = 2³ × 9871¹

Step-2: Prime Factorization of 78986

Prime factors of 78986 are 2, 73, 541. Prime factorization of 78986 in exponential form is:

78986 = 2¹ × 73¹ × 541¹

Step-3: Factors of 78968

List of positive integer factors of 78968 that divides 78968 without a remainder.

1, 2, 4, 8, 9871, 19742, 39484

Step-4: Factors of 78986

List of positive integer factors of 78986 that divides 78968 without a remainder.

1, 2, 73, 146, 541, 1082, 39493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78968 and 78986. The biggest common factor number is the GCF number.
So the greatest common factor 78968 and 78986 is 2.

Also check out the Least Common Multiple of 78968 and 78986