What is the Greatest Common Factor of 70944 and 70958?

Greatest common factor (GCF) of 70944 and 70958 is 2.

GCF(70944,70958) = 2

We will now calculate the prime factors of 70944 and 70958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70944 and 70958.

How to find the GCF of 70944 and 70958?

We will first find the prime factorization of 70944 and 70958. After we will calculate the factors of 70944 and 70958 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 70958

Prime factors of 70958 are 2, 17, 2087. Prime factorization of 70958 in exponential form is:

70958 = 2¹ × 17¹ × 2087¹

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 70958

List of positive integer factors of 70958 that divides 70944 without a remainder.

1, 2, 17, 34, 2087, 4174, 35479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70944 and 70958. The biggest common factor number is the GCF number.
So the greatest common factor 70944 and 70958 is 2.

Also check out the Least Common Multiple of 70944 and 70958