What is the Greatest Common Factor of 69404 and 69424?

Greatest common factor (GCF) of 69404 and 69424 is 4.

GCF(69404,69424) = 4

We will now calculate the prime factors of 69404 and 69424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69404 and 69424.

How to find the GCF of 69404 and 69424?

We will first find the prime factorization of 69404 and 69424. After we will calculate the factors of 69404 and 69424 and find the biggest common factor number .

Step-1: Prime Factorization of 69404

Prime factors of 69404 are 2, 17351. Prime factorization of 69404 in exponential form is:

69404 = 2² × 17351¹

Step-2: Prime Factorization of 69424

Prime factors of 69424 are 2, 4339. Prime factorization of 69424 in exponential form is:

69424 = 2⁴ × 4339¹

Step-3: Factors of 69404

List of positive integer factors of 69404 that divides 69404 without a remainder.

1, 2, 4, 17351, 34702

Step-4: Factors of 69424

List of positive integer factors of 69424 that divides 69404 without a remainder.

1, 2, 4, 8, 16, 4339, 8678, 17356, 34712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69404 and 69424. The biggest common factor number is the GCF number.
So the greatest common factor 69404 and 69424 is 4.

Also check out the Least Common Multiple of 69404 and 69424