What is the Greatest Common Factor of 70929 and 70944?

Greatest common factor (GCF) of 70929 and 70944 is 3.

GCF(70929,70944) = 3

We will now calculate the prime factors of 70929 and 70944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70929 and 70944.

How to find the GCF of 70929 and 70944?

We will first find the prime factorization of 70929 and 70944. After we will calculate the factors of 70929 and 70944 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 70944

Prime factors of 70944 are 2, 3, 739. Prime factorization of 70944 in exponential form is:

70944 = 2⁵ × 3¹ × 739¹

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 70944

List of positive integer factors of 70944 that divides 70929 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 739, 1478, 2217, 2956, 4434, 5912, 8868, 11824, 17736, 23648, 35472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70929 and 70944. The biggest common factor number is the GCF number.
So the greatest common factor 70929 and 70944 is 3.

Also check out the Least Common Multiple of 70929 and 70944