What is the Greatest Common Factor of 35380 and 35397?

Greatest common factor (GCF) of 35380 and 35397 is 1.

GCF(35380,35397) = 1

We will now calculate the prime factors of 35380 and 35397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35380 and 35397.

How to find the GCF of 35380 and 35397?

We will first find the prime factorization of 35380 and 35397. After we will calculate the factors of 35380 and 35397 and find the biggest common factor number .

Step-1: Prime Factorization of 35380

Prime factors of 35380 are 2, 5, 29, 61. Prime factorization of 35380 in exponential form is:

35380 = 2² × 5¹ × 29¹ × 61¹

Step-2: Prime Factorization of 35397

Prime factors of 35397 are 3, 19, 23. Prime factorization of 35397 in exponential form is:

35397 = 3⁴ × 19¹ × 23¹

Step-3: Factors of 35380

List of positive integer factors of 35380 that divides 35380 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 61, 116, 122, 145, 244, 290, 305, 580, 610, 1220, 1769, 3538, 7076, 8845, 17690

Step-4: Factors of 35397

List of positive integer factors of 35397 that divides 35380 without a remainder.

1, 3, 9, 19, 23, 27, 57, 69, 81, 171, 207, 437, 513, 621, 1311, 1539, 1863, 3933, 11799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35380 and 35397. The biggest common factor number is the GCF number.
So the greatest common factor 35380 and 35397 is 1.

Also check out the Least Common Multiple of 35380 and 35397