What is the Greatest Common Factor of 35357 and 35371?

Greatest common factor (GCF) of 35357 and 35371 is 7.

GCF(35357,35371) = 7

We will now calculate the prime factors of 35357 and 35371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35357 and 35371.

How to find the GCF of 35357 and 35371?

We will first find the prime factorization of 35357 and 35371. After we will calculate the factors of 35357 and 35371 and find the biggest common factor number .

Step-1: Prime Factorization of 35357

Prime factors of 35357 are 7, 5051. Prime factorization of 35357 in exponential form is:

35357 = 7¹ × 5051¹

Step-2: Prime Factorization of 35371

Prime factors of 35371 are 7, 31, 163. Prime factorization of 35371 in exponential form is:

35371 = 7¹ × 31¹ × 163¹

Step-3: Factors of 35357

List of positive integer factors of 35357 that divides 35357 without a remainder.

1, 7, 5051

Step-4: Factors of 35371

List of positive integer factors of 35371 that divides 35357 without a remainder.

1, 7, 31, 163, 217, 1141, 5053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35357 and 35371. The biggest common factor number is the GCF number.
So the greatest common factor 35357 and 35371 is 7.

Also check out the Least Common Multiple of 35357 and 35371