What is the Greatest Common Factor of 70914 and 70929?

Greatest common factor (GCF) of 70914 and 70929 is 3.

GCF(70914,70929) = 3

We will now calculate the prime factors of 70914 and 70929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70914 and 70929.

How to find the GCF of 70914 and 70929?

We will first find the prime factorization of 70914 and 70929. After we will calculate the factors of 70914 and 70929 and find the biggest common factor number .

Step-1: Prime Factorization of 70914

Prime factors of 70914 are 2, 3, 53, 223. Prime factorization of 70914 in exponential form is:

70914 = 2¹ × 3¹ × 53¹ × 223¹

Step-2: 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-3: Factors of 70914

List of positive integer factors of 70914 that divides 70914 without a remainder.

1, 2, 3, 6, 53, 106, 159, 223, 318, 446, 669, 1338, 11819, 23638, 35457

Step-4: Factors of 70929

List of positive integer factors of 70929 that divides 70914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70914 and 70929. The biggest common factor number is the GCF number.
So the greatest common factor 70914 and 70929 is 3.

Also check out the Least Common Multiple of 70914 and 70929