What is the Greatest Common Factor of 70744 and 70758?

Greatest common factor (GCF) of 70744 and 70758 is 2.

GCF(70744,70758) = 2

We will now calculate the prime factors of 70744 and 70758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70744 and 70758.

How to find the GCF of 70744 and 70758?

We will first find the prime factorization of 70744 and 70758. After we will calculate the factors of 70744 and 70758 and find the biggest common factor number .

Step-1: Prime Factorization of 70744

Prime factors of 70744 are 2, 37, 239. Prime factorization of 70744 in exponential form is:

70744 = 2³ × 37¹ × 239¹

Step-2: Prime Factorization of 70758

Prime factors of 70758 are 2, 3, 3931. Prime factorization of 70758 in exponential form is:

70758 = 2¹ × 3² × 3931¹

Step-3: Factors of 70744

List of positive integer factors of 70744 that divides 70744 without a remainder.

1, 2, 4, 8, 37, 74, 148, 239, 296, 478, 956, 1912, 8843, 17686, 35372

Step-4: Factors of 70758

List of positive integer factors of 70758 that divides 70744 without a remainder.

1, 2, 3, 6, 9, 18, 3931, 7862, 11793, 23586, 35379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70744 and 70758. The biggest common factor number is the GCF number.
So the greatest common factor 70744 and 70758 is 2.

Also check out the Least Common Multiple of 70744 and 70758