What is the Greatest Common Factor of 35397 and 35402?

Greatest common factor (GCF) of 35397 and 35402 is 1.

GCF(35397,35402) = 1

We will now calculate the prime factors of 35397 and 35402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35397 and 35402.

How to find the GCF of 35397 and 35402?

We will first find the prime factorization of 35397 and 35402. After we will calculate the factors of 35397 and 35402 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35402

Prime factors of 35402 are 2, 31, 571. Prime factorization of 35402 in exponential form is:

35402 = 2¹ × 31¹ × 571¹

Step-3: Factors of 35397

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

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

Step-4: Factors of 35402

List of positive integer factors of 35402 that divides 35397 without a remainder.

1, 2, 31, 62, 571, 1142, 17701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35397 and 35402. The biggest common factor number is the GCF number.
So the greatest common factor 35397 and 35402 is 1.

Also check out the Least Common Multiple of 35397 and 35402