What is the Greatest Common Factor of 35428 and 35438?

Greatest common factor (GCF) of 35428 and 35438 is 2.

GCF(35428,35438) = 2

We will now calculate the prime factors of 35428 and 35438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35428 and 35438.

How to find the GCF of 35428 and 35438?

We will first find the prime factorization of 35428 and 35438. After we will calculate the factors of 35428 and 35438 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 35438

Prime factors of 35438 are 2, 13, 29, 47. Prime factorization of 35438 in exponential form is:

35438 = 2¹ × 13¹ × 29¹ × 47¹

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 35438

List of positive integer factors of 35438 that divides 35428 without a remainder.

1, 2, 13, 26, 29, 47, 58, 94, 377, 611, 754, 1222, 1363, 2726, 17719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35428 and 35438. The biggest common factor number is the GCF number.
So the greatest common factor 35428 and 35438 is 2.

Also check out the Least Common Multiple of 35428 and 35438