What is the Greatest Common Factor of 35340 and 35351?

Greatest common factor (GCF) of 35340 and 35351 is 1.

GCF(35340,35351) = 1

We will now calculate the prime factors of 35340 and 35351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35340 and 35351.

How to find the GCF of 35340 and 35351?

We will first find the prime factorization of 35340 and 35351. After we will calculate the factors of 35340 and 35351 and find the biggest common factor number .

Step-1: Prime Factorization of 35340

Prime factors of 35340 are 2, 3, 5, 19, 31. Prime factorization of 35340 in exponential form is:

35340 = 2² × 3¹ × 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 35351

Prime factors of 35351 are 23, 29, 53. Prime factorization of 35351 in exponential form is:

35351 = 23¹ × 29¹ × 53¹

Step-3: Factors of 35340

List of positive integer factors of 35340 that divides 35340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 31, 38, 57, 60, 62, 76, 93, 95, 114, 124, 155, 186, 190, 228, 285, 310, 372, 380, 465, 570, 589, 620, 930, 1140, 1178, 1767, 1860, 2356, 2945, 3534, 5890, 7068, 8835, 11780, 17670

Step-4: Factors of 35351

List of positive integer factors of 35351 that divides 35340 without a remainder.

1, 23, 29, 53, 667, 1219, 1537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35340 and 35351. The biggest common factor number is the GCF number.
So the greatest common factor 35340 and 35351 is 1.

Also check out the Least Common Multiple of 35340 and 35351