What is the Greatest Common Factor of 70968 and 70983?

Greatest common factor (GCF) of 70968 and 70983 is 3.

GCF(70968,70983) = 3

We will now calculate the prime factors of 70968 and 70983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70968 and 70983.

How to find the GCF of 70968 and 70983?

We will first find the prime factorization of 70968 and 70983. After we will calculate the factors of 70968 and 70983 and find the biggest common factor number .

Step-1: Prime Factorization of 70968

Prime factors of 70968 are 2, 3, 2957. Prime factorization of 70968 in exponential form is:

70968 = 2³ × 3¹ × 2957¹

Step-2: Prime Factorization of 70983

Prime factors of 70983 are 3, 11, 239. Prime factorization of 70983 in exponential form is:

70983 = 3³ × 11¹ × 239¹

Step-3: Factors of 70968

List of positive integer factors of 70968 that divides 70968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2957, 5914, 8871, 11828, 17742, 23656, 35484

Step-4: Factors of 70983

List of positive integer factors of 70983 that divides 70968 without a remainder.

1, 3, 9, 11, 27, 33, 99, 239, 297, 717, 2151, 2629, 6453, 7887, 23661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70968 and 70983. The biggest common factor number is the GCF number.
So the greatest common factor 70968 and 70983 is 3.

Also check out the Least Common Multiple of 70968 and 70983