What is the Greatest Common Factor of 69424 and 69434?

Greatest common factor (GCF) of 69424 and 69434 is 2.

GCF(69424,69434) = 2

We will now calculate the prime factors of 69424 and 69434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69424 and 69434.

How to find the GCF of 69424 and 69434?

We will first find the prime factorization of 69424 and 69434. After we will calculate the factors of 69424 and 69434 and find the biggest common factor number .

Step-1: Prime Factorization of 69424

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

69424 = 2⁴ × 4339¹

Step-2: Prime Factorization of 69434

Prime factors of 69434 are 2, 149, 233. Prime factorization of 69434 in exponential form is:

69434 = 2¹ × 149¹ × 233¹

Step-3: Factors of 69424

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

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

Step-4: Factors of 69434

List of positive integer factors of 69434 that divides 69424 without a remainder.

1, 2, 149, 233, 298, 466, 34717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69424 and 69434. The biggest common factor number is the GCF number.
So the greatest common factor 69424 and 69434 is 2.

Also check out the Least Common Multiple of 69424 and 69434