What is the Greatest Common Factor of 79854 and 79868?

Greatest common factor (GCF) of 79854 and 79868 is 2.

GCF(79854,79868) = 2

We will now calculate the prime factors of 79854 and 79868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79854 and 79868.

How to find the GCF of 79854 and 79868?

We will first find the prime factorization of 79854 and 79868. After we will calculate the factors of 79854 and 79868 and find the biggest common factor number .

Step-1: Prime Factorization of 79854

Prime factors of 79854 are 2, 3, 13309. Prime factorization of 79854 in exponential form is:

79854 = 2¹ × 3¹ × 13309¹

Step-2: Prime Factorization of 79868

Prime factors of 79868 are 2, 41, 487. Prime factorization of 79868 in exponential form is:

79868 = 2² × 41¹ × 487¹

Step-3: Factors of 79854

List of positive integer factors of 79854 that divides 79854 without a remainder.

1, 2, 3, 6, 13309, 26618, 39927

Step-4: Factors of 79868

List of positive integer factors of 79868 that divides 79854 without a remainder.

1, 2, 4, 41, 82, 164, 487, 974, 1948, 19967, 39934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79854 and 79868. The biggest common factor number is the GCF number.
So the greatest common factor 79854 and 79868 is 2.

Also check out the Least Common Multiple of 79854 and 79868