What is the Greatest Common Factor of 35428 and 35434?

Greatest common factor (GCF) of 35428 and 35434 is 2.

GCF(35428,35434) = 2

We will now calculate the prime factors of 35428 and 35434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35428 and 35434.

How to find the GCF of 35428 and 35434?

We will first find the prime factorization of 35428 and 35434. After we will calculate the factors of 35428 and 35434 and find the biggest common factor number .

Step-1: Prime Factorization of 35428

Prime factors of 35428 are 2, 17, 521. Prime factorization of 35428 in exponential form is:

35428 = 2² × 17¹ × 521¹

Step-2: Prime Factorization of 35434

Prime factors of 35434 are 2, 7, 2531. Prime factorization of 35434 in exponential form is:

35434 = 2¹ × 7¹ × 2531¹

Step-3: Factors of 35428

List of positive integer factors of 35428 that divides 35428 without a remainder.

1, 2, 4, 17, 34, 68, 521, 1042, 2084, 8857, 17714

Step-4: Factors of 35434

List of positive integer factors of 35434 that divides 35428 without a remainder.

1, 2, 7, 14, 2531, 5062, 17717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35428 and 35434. The biggest common factor number is the GCF number.
So the greatest common factor 35428 and 35434 is 2.

Also check out the Least Common Multiple of 35428 and 35434