What is the Greatest Common Factor of 35438 and 35454?

Greatest common factor (GCF) of 35438 and 35454 is 2.

GCF(35438,35454) = 2

We will now calculate the prime factors of 35438 and 35454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35438 and 35454.

How to find the GCF of 35438 and 35454?

We will first find the prime factorization of 35438 and 35454. After we will calculate the factors of 35438 and 35454 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 35454

Prime factors of 35454 are 2, 3, 19, 311. Prime factorization of 35454 in exponential form is:

35454 = 2¹ × 3¹ × 19¹ × 311¹

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 35454

List of positive integer factors of 35454 that divides 35438 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 311, 622, 933, 1866, 5909, 11818, 17727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35438 and 35454. The biggest common factor number is the GCF number.
So the greatest common factor 35438 and 35454 is 2.

Also check out the Least Common Multiple of 35438 and 35454