What is the Greatest Common Factor of 70770 and 70790?

Greatest common factor (GCF) of 70770 and 70790 is 10.

GCF(70770,70790) = 10

We will now calculate the prime factors of 70770 and 70790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70770 and 70790.

How to find the GCF of 70770 and 70790?

We will first find the prime factorization of 70770 and 70790. After we will calculate the factors of 70770 and 70790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70790

Prime factors of 70790 are 2, 5, 7079. Prime factorization of 70790 in exponential form is:

70790 = 2¹ × 5¹ × 7079¹

Step-3: Factors of 70770

List of positive integer factors of 70770 that divides 70770 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

Step-4: Factors of 70790

List of positive integer factors of 70790 that divides 70770 without a remainder.

1, 2, 5, 10, 7079, 14158, 35395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70770 and 70790. The biggest common factor number is the GCF number.
So the greatest common factor 70770 and 70790 is 10.

Also check out the Least Common Multiple of 70770 and 70790