What is the Greatest Common Factor of 69790 and 69805?

Greatest common factor (GCF) of 69790 and 69805 is 5.

GCF(69790,69805) = 5

We will now calculate the prime factors of 69790 and 69805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69790 and 69805.

How to find the GCF of 69790 and 69805?

We will first find the prime factorization of 69790 and 69805. After we will calculate the factors of 69790 and 69805 and find the biggest common factor number .

Step-1: Prime Factorization of 69790

Prime factors of 69790 are 2, 5, 7, 997. Prime factorization of 69790 in exponential form is:

69790 = 2¹ × 5¹ × 7¹ × 997¹

Step-2: Prime Factorization of 69805

Prime factors of 69805 are 5, 23, 607. Prime factorization of 69805 in exponential form is:

69805 = 5¹ × 23¹ × 607¹

Step-3: Factors of 69790

List of positive integer factors of 69790 that divides 69790 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 997, 1994, 4985, 6979, 9970, 13958, 34895

Step-4: Factors of 69805

List of positive integer factors of 69805 that divides 69790 without a remainder.

1, 5, 23, 115, 607, 3035, 13961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69790 and 69805. The biggest common factor number is the GCF number.
So the greatest common factor 69790 and 69805 is 5.

Also check out the Least Common Multiple of 69790 and 69805