What is the Greatest Common Factor of 70929 and 70947?

Greatest common factor (GCF) of 70929 and 70947 is 9.

GCF(70929,70947) = 9

We will now calculate the prime factors of 70929 and 70947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70929 and 70947.

How to find the GCF of 70929 and 70947?

We will first find the prime factorization of 70929 and 70947. After we will calculate the factors of 70929 and 70947 and find the biggest common factor number .

Step-1: Prime Factorization of 70929

Prime factors of 70929 are 3, 37, 71. Prime factorization of 70929 in exponential form is:

70929 = 3³ × 37¹ × 71¹

Step-2: Prime Factorization of 70947

Prime factors of 70947 are 3, 7883. Prime factorization of 70947 in exponential form is:

70947 = 3² × 7883¹

Step-3: Factors of 70929

List of positive integer factors of 70929 that divides 70929 without a remainder.

1, 3, 9, 27, 37, 71, 111, 213, 333, 639, 999, 1917, 2627, 7881, 23643

Step-4: Factors of 70947

List of positive integer factors of 70947 that divides 70929 without a remainder.

1, 3, 9, 7883, 23649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70929 and 70947. The biggest common factor number is the GCF number.
So the greatest common factor 70929 and 70947 is 9.

Also check out the Least Common Multiple of 70929 and 70947