What is the Greatest Common Factor of 35292 and 35297?

Greatest common factor (GCF) of 35292 and 35297 is 1.

GCF(35292,35297) = 1

We will now calculate the prime factors of 35292 and 35297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35292 and 35297.

How to find the GCF of 35292 and 35297?

We will first find the prime factorization of 35292 and 35297. After we will calculate the factors of 35292 and 35297 and find the biggest common factor number .

Step-1: Prime Factorization of 35292

Prime factors of 35292 are 2, 3, 17, 173. Prime factorization of 35292 in exponential form is:

35292 = 2² × 3¹ × 17¹ × 173¹

Step-2: Prime Factorization of 35297

Prime factors of 35297 are 47, 751. Prime factorization of 35297 in exponential form is:

35297 = 47¹ × 751¹

Step-3: Factors of 35292

List of positive integer factors of 35292 that divides 35292 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 173, 204, 346, 519, 692, 1038, 2076, 2941, 5882, 8823, 11764, 17646

Step-4: Factors of 35297

List of positive integer factors of 35297 that divides 35292 without a remainder.

1, 47, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35292 and 35297. The biggest common factor number is the GCF number.
So the greatest common factor 35292 and 35297 is 1.

Also check out the Least Common Multiple of 35292 and 35297