What is the Greatest Common Factor of 70854 and 70868?

Greatest common factor (GCF) of 70854 and 70868 is 14.

GCF(70854,70868) = 14

We will now calculate the prime factors of 70854 and 70868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70854 and 70868.

How to find the GCF of 70854 and 70868?

We will first find the prime factorization of 70854 and 70868. After we will calculate the factors of 70854 and 70868 and find the biggest common factor number .

Step-1: Prime Factorization of 70854

Prime factors of 70854 are 2, 3, 7, 241. Prime factorization of 70854 in exponential form is:

70854 = 2¹ × 3¹ × 7² × 241¹

Step-2: Prime Factorization of 70868

Prime factors of 70868 are 2, 7, 2531. Prime factorization of 70868 in exponential form is:

70868 = 2² × 7¹ × 2531¹

Step-3: Factors of 70854

List of positive integer factors of 70854 that divides 70854 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 241, 294, 482, 723, 1446, 1687, 3374, 5061, 10122, 11809, 23618, 35427

Step-4: Factors of 70868

List of positive integer factors of 70868 that divides 70854 without a remainder.

1, 2, 4, 7, 14, 28, 2531, 5062, 10124, 17717, 35434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70854 and 70868. The biggest common factor number is the GCF number.
So the greatest common factor 70854 and 70868 is 14.

Also check out the Least Common Multiple of 70854 and 70868