What is the Greatest Common Factor of 84858 and 84874?

Greatest common factor (GCF) of 84858 and 84874 is 2.

GCF(84858,84874) = 2

We will now calculate the prime factors of 84858 and 84874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84858 and 84874.

How to find the GCF of 84858 and 84874?

We will first find the prime factorization of 84858 and 84874. After we will calculate the factors of 84858 and 84874 and find the biggest common factor number .

Step-1: Prime Factorization of 84858

Prime factors of 84858 are 2, 3, 14143. Prime factorization of 84858 in exponential form is:

84858 = 2¹ × 3¹ × 14143¹

Step-2: Prime Factorization of 84874

Prime factors of 84874 are 2, 42437. Prime factorization of 84874 in exponential form is:

84874 = 2¹ × 42437¹

Step-3: Factors of 84858

List of positive integer factors of 84858 that divides 84858 without a remainder.

1, 2, 3, 6, 14143, 28286, 42429

Step-4: Factors of 84874

List of positive integer factors of 84874 that divides 84858 without a remainder.

1, 2, 42437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84858 and 84874. The biggest common factor number is the GCF number.
So the greatest common factor 84858 and 84874 is 2.

Also check out the Least Common Multiple of 84858 and 84874