What is the Greatest Common Factor of 70845 and 70854?

Greatest common factor (GCF) of 70845 and 70854 is 3.

GCF(70845,70854) = 3

We will now calculate the prime factors of 70845 and 70854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70845 and 70854.

How to find the GCF of 70845 and 70854?

We will first find the prime factorization of 70845 and 70854. After we will calculate the factors of 70845 and 70854 and find the biggest common factor number .

Step-1: Prime Factorization of 70845

Prime factors of 70845 are 3, 5, 4723. Prime factorization of 70845 in exponential form is:

70845 = 3¹ × 5¹ × 4723¹

Step-2: 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-3: Factors of 70845

List of positive integer factors of 70845 that divides 70845 without a remainder.

1, 3, 5, 15, 4723, 14169, 23615

Step-4: Factors of 70854

List of positive integer factors of 70854 that divides 70845 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70845 and 70854. The biggest common factor number is the GCF number.
So the greatest common factor 70845 and 70854 is 3.

Also check out the Least Common Multiple of 70845 and 70854