What is the Greatest Common Factor of 35364 and 35371?

Greatest common factor (GCF) of 35364 and 35371 is 7.

GCF(35364,35371) = 7

We will now calculate the prime factors of 35364 and 35371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35364 and 35371.

How to find the GCF of 35364 and 35371?

We will first find the prime factorization of 35364 and 35371. After we will calculate the factors of 35364 and 35371 and find the biggest common factor number .

Step-1: Prime Factorization of 35364

Prime factors of 35364 are 2, 3, 7, 421. Prime factorization of 35364 in exponential form is:

35364 = 2² × 3¹ × 7¹ × 421¹

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 35364

List of positive integer factors of 35364 that divides 35364 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 421, 842, 1263, 1684, 2526, 2947, 5052, 5894, 8841, 11788, 17682

Step-4: Factors of 35371

List of positive integer factors of 35371 that divides 35364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35364 and 35371. The biggest common factor number is the GCF number.
So the greatest common factor 35364 and 35371 is 7.

Also check out the Least Common Multiple of 35364 and 35371