What is the Greatest Common Factor of 69434 and 69442?

Greatest common factor (GCF) of 69434 and 69442 is 2.

GCF(69434,69442) = 2

We will now calculate the prime factors of 69434 and 69442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69434 and 69442.

How to find the GCF of 69434 and 69442?

We will first find the prime factorization of 69434 and 69442. After we will calculate the factors of 69434 and 69442 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 69442

Prime factors of 69442 are 2, 34721. Prime factorization of 69442 in exponential form is:

69442 = 2¹ × 34721¹

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 69442

List of positive integer factors of 69442 that divides 69434 without a remainder.

1, 2, 34721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69434 and 69442. The biggest common factor number is the GCF number.
So the greatest common factor 69434 and 69442 is 2.

Also check out the Least Common Multiple of 69434 and 69442