What is the Greatest Common Factor of 85967 and 85981?

Greatest common factor (GCF) of 85967 and 85981 is 7.

GCF(85967,85981) = 7

We will now calculate the prime factors of 85967 and 85981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85967 and 85981.

How to find the GCF of 85967 and 85981?

We will first find the prime factorization of 85967 and 85981. After we will calculate the factors of 85967 and 85981 and find the biggest common factor number .

Step-1: Prime Factorization of 85967

Prime factors of 85967 are 7, 12281. Prime factorization of 85967 in exponential form is:

85967 = 7¹ × 12281¹

Step-2: Prime Factorization of 85981

Prime factors of 85981 are 7, 71, 173. Prime factorization of 85981 in exponential form is:

85981 = 7¹ × 71¹ × 173¹

Step-3: Factors of 85967

List of positive integer factors of 85967 that divides 85967 without a remainder.

1, 7, 12281

Step-4: Factors of 85981

List of positive integer factors of 85981 that divides 85967 without a remainder.

1, 7, 71, 173, 497, 1211, 12283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85967 and 85981. The biggest common factor number is the GCF number.
So the greatest common factor 85967 and 85981 is 7.

Also check out the Least Common Multiple of 85967 and 85981