What is the Greatest Common Factor of 70758 and 70770?

Greatest common factor (GCF) of 70758 and 70770 is 6.

GCF(70758,70770) = 6

We will now calculate the prime factors of 70758 and 70770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70758 and 70770.

How to find the GCF of 70758 and 70770?

We will first find the prime factorization of 70758 and 70770. After we will calculate the factors of 70758 and 70770 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70770

Prime factors of 70770 are 2, 3, 5, 7, 337. Prime factorization of 70770 in exponential form is:

70770 = 2¹ × 3¹ × 5¹ × 7¹ × 337¹

Step-3: Factors of 70758

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

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

Step-4: Factors of 70770

List of positive integer factors of 70770 that divides 70758 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 337, 674, 1011, 1685, 2022, 2359, 3370, 4718, 5055, 7077, 10110, 11795, 14154, 23590, 35385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70758 and 70770. The biggest common factor number is the GCF number.
So the greatest common factor 70758 and 70770 is 6.

Also check out the Least Common Multiple of 70758 and 70770