What is the Greatest Common Factor of 69774 and 69790?

Greatest common factor (GCF) of 69774 and 69790 is 2.

GCF(69774,69790) = 2

We will now calculate the prime factors of 69774 and 69790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69774 and 69790.

How to find the GCF of 69774 and 69790?

We will first find the prime factorization of 69774 and 69790. After we will calculate the factors of 69774 and 69790 and find the biggest common factor number .

Step-1: Prime Factorization of 69774

Prime factors of 69774 are 2, 3, 29, 401. Prime factorization of 69774 in exponential form is:

69774 = 2¹ × 3¹ × 29¹ × 401¹

Step-2: 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-3: Factors of 69774

List of positive integer factors of 69774 that divides 69774 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 401, 802, 1203, 2406, 11629, 23258, 34887

Step-4: Factors of 69790

List of positive integer factors of 69790 that divides 69774 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69774 and 69790. The biggest common factor number is the GCF number.
So the greatest common factor 69774 and 69790 is 2.

Also check out the Least Common Multiple of 69774 and 69790