What is the Greatest Common Factor of 35275 and 35292?

Greatest common factor (GCF) of 35275 and 35292 is 17.

GCF(35275,35292) = 17

We will now calculate the prime factors of 35275 and 35292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35275 and 35292.

How to find the GCF of 35275 and 35292?

We will first find the prime factorization of 35275 and 35292. After we will calculate the factors of 35275 and 35292 and find the biggest common factor number .

Step-1: Prime Factorization of 35275

Prime factors of 35275 are 5, 17, 83. Prime factorization of 35275 in exponential form is:

35275 = 5² × 17¹ × 83¹

Step-2: 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-3: Factors of 35275

List of positive integer factors of 35275 that divides 35275 without a remainder.

1, 5, 17, 25, 83, 85, 415, 425, 1411, 2075, 7055

Step-4: Factors of 35292

List of positive integer factors of 35292 that divides 35275 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35275 and 35292. The biggest common factor number is the GCF number.
So the greatest common factor 35275 and 35292 is 17.

Also check out the Least Common Multiple of 35275 and 35292