What is the Greatest Common Factor of 35438 and 35457?

Greatest common factor (GCF) of 35438 and 35457 is 1.

GCF(35438,35457) = 1

We will now calculate the prime factors of 35438 and 35457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35438 and 35457.

How to find the GCF of 35438 and 35457?

We will first find the prime factorization of 35438 and 35457. After we will calculate the factors of 35438 and 35457 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35457

Prime factors of 35457 are 3, 53, 223. Prime factorization of 35457 in exponential form is:

35457 = 3¹ × 53¹ × 223¹

Step-3: Factors of 35438

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

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

Step-4: Factors of 35457

List of positive integer factors of 35457 that divides 35438 without a remainder.

1, 3, 53, 159, 223, 669, 11819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35438 and 35457. The biggest common factor number is the GCF number.
So the greatest common factor 35438 and 35457 is 1.

Also check out the Least Common Multiple of 35438 and 35457