What is the Greatest Common Factor of 70854 and 70874?

Greatest common factor (GCF) of 70854 and 70874 is 2.

GCF(70854,70874) = 2

We will now calculate the prime factors of 70854 and 70874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70854 and 70874.

How to find the GCF of 70854 and 70874?

We will first find the prime factorization of 70854 and 70874. After we will calculate the factors of 70854 and 70874 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 70874

Prime factors of 70874 are 2, 35437. Prime factorization of 70874 in exponential form is:

70874 = 2¹ × 35437¹

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 70874

List of positive integer factors of 70874 that divides 70854 without a remainder.

1, 2, 35437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70854 and 70874. The biggest common factor number is the GCF number.
So the greatest common factor 70854 and 70874 is 2.

Also check out the Least Common Multiple of 70854 and 70874