What is the Greatest Common Factor of 70944 and 70950?

Greatest common factor (GCF) of 70944 and 70950 is 6.

GCF(70944,70950) = 6

We will now calculate the prime factors of 70944 and 70950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70944 and 70950.

How to find the GCF of 70944 and 70950?

We will first find the prime factorization of 70944 and 70950. After we will calculate the factors of 70944 and 70950 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70950

Prime factors of 70950 are 2, 3, 5, 11, 43. Prime factorization of 70950 in exponential form is:

70950 = 2¹ × 3¹ × 5² × 11¹ × 43¹

Step-3: Factors of 70944

List of positive integer factors of 70944 that divides 70944 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

Step-4: Factors of 70950

List of positive integer factors of 70950 that divides 70944 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 43, 50, 55, 66, 75, 86, 110, 129, 150, 165, 215, 258, 275, 330, 430, 473, 550, 645, 825, 946, 1075, 1290, 1419, 1650, 2150, 2365, 2838, 3225, 4730, 6450, 7095, 11825, 14190, 23650, 35475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70944 and 70950. The biggest common factor number is the GCF number.
So the greatest common factor 70944 and 70950 is 6.

Also check out the Least Common Multiple of 70944 and 70950