What is the Greatest Common Factor of 70758 and 70777?

Greatest common factor (GCF) of 70758 and 70777 is 1.

GCF(70758,70777) = 1

We will now calculate the prime factors of 70758 and 70777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70758 and 70777.

How to find the GCF of 70758 and 70777?

We will first find the prime factorization of 70758 and 70777. After we will calculate the factors of 70758 and 70777 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 70777

Prime factors of 70777 are 7, 10111. Prime factorization of 70777 in exponential form is:

70777 = 7¹ × 10111¹

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 70777

List of positive integer factors of 70777 that divides 70758 without a remainder.

1, 7, 10111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70758 and 70777. The biggest common factor number is the GCF number.
So the greatest common factor 70758 and 70777 is 1.

Also check out the Least Common Multiple of 70758 and 70777