What is the Greatest Common Factor of 69434 and 69449?

Greatest common factor (GCF) of 69434 and 69449 is 1.

GCF(69434,69449) = 1

We will now calculate the prime factors of 69434 and 69449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69434 and 69449.

How to find the GCF of 69434 and 69449?

We will first find the prime factorization of 69434 and 69449. After we will calculate the factors of 69434 and 69449 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69449

Prime factors of 69449 are 37, 1877. Prime factorization of 69449 in exponential form is:

69449 = 37¹ × 1877¹

Step-3: Factors of 69434

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

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

Step-4: Factors of 69449

List of positive integer factors of 69449 that divides 69434 without a remainder.

1, 37, 1877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69434 and 69449. The biggest common factor number is the GCF number.
So the greatest common factor 69434 and 69449 is 1.

Also check out the Least Common Multiple of 69434 and 69449