What is the Greatest Common Factor of 35252 and 35257?

Greatest common factor (GCF) of 35252 and 35257 is 1.

GCF(35252,35257) = 1

We will now calculate the prime factors of 35252 and 35257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35252 and 35257.

How to find the GCF of 35252 and 35257?

We will first find the prime factorization of 35252 and 35257. After we will calculate the factors of 35252 and 35257 and find the biggest common factor number .

Step-1: Prime Factorization of 35252

Prime factors of 35252 are 2, 7, 1259. Prime factorization of 35252 in exponential form is:

35252 = 2² × 7¹ × 1259¹

Step-2: Prime Factorization of 35257

Prime factors of 35257 are 35257. Prime factorization of 35257 in exponential form is:

35257 = 35257¹

Step-3: Factors of 35252

List of positive integer factors of 35252 that divides 35252 without a remainder.

1, 2, 4, 7, 14, 28, 1259, 2518, 5036, 8813, 17626

Step-4: Factors of 35257

List of positive integer factors of 35257 that divides 35252 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35252 and 35257. The biggest common factor number is the GCF number.
So the greatest common factor 35252 and 35257 is 1.

Also check out the Least Common Multiple of 35252 and 35257