What is the Greatest Common Factor of 35438 and 35451?

Greatest common factor (GCF) of 35438 and 35451 is 13.

GCF(35438,35451) = 13

We will now calculate the prime factors of 35438 and 35451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35438 and 35451.

How to find the GCF of 35438 and 35451?

We will first find the prime factorization of 35438 and 35451. After we will calculate the factors of 35438 and 35451 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 35451

Prime factors of 35451 are 3, 13, 101. Prime factorization of 35451 in exponential form is:

35451 = 3³ × 13¹ × 101¹

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 35451

List of positive integer factors of 35451 that divides 35438 without a remainder.

1, 3, 9, 13, 27, 39, 101, 117, 303, 351, 909, 1313, 2727, 3939, 11817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35438 and 35451. The biggest common factor number is the GCF number.
So the greatest common factor 35438 and 35451 is 13.

Also check out the Least Common Multiple of 35438 and 35451