What is the Greatest Common Factor of 33770 and 33790?

Greatest common factor (GCF) of 33770 and 33790 is 10.

GCF(33770,33790) = 10

We will now calculate the prime factors of 33770 and 33790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33770 and 33790.

How to find the GCF of 33770 and 33790?

We will first find the prime factorization of 33770 and 33790. After we will calculate the factors of 33770 and 33790 and find the biggest common factor number .

Step-1: Prime Factorization of 33770

Prime factors of 33770 are 2, 5, 11, 307. Prime factorization of 33770 in exponential form is:

33770 = 2¹ × 5¹ × 11¹ × 307¹

Step-2: Prime Factorization of 33790

Prime factors of 33790 are 2, 5, 31, 109. Prime factorization of 33790 in exponential form is:

33790 = 2¹ × 5¹ × 31¹ × 109¹

Step-3: Factors of 33770

List of positive integer factors of 33770 that divides 33770 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 307, 614, 1535, 3070, 3377, 6754, 16885

Step-4: Factors of 33790

List of positive integer factors of 33790 that divides 33770 without a remainder.

1, 2, 5, 10, 31, 62, 109, 155, 218, 310, 545, 1090, 3379, 6758, 16895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33770 and 33790. The biggest common factor number is the GCF number.
So the greatest common factor 33770 and 33790 is 10.

Also check out the Least Common Multiple of 33770 and 33790