What is the Greatest Common Factor of 35225 and 35239?

Greatest common factor (GCF) of 35225 and 35239 is 1.

GCF(35225,35239) = 1

We will now calculate the prime factors of 35225 and 35239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35225 and 35239.

How to find the GCF of 35225 and 35239?

We will first find the prime factorization of 35225 and 35239. After we will calculate the factors of 35225 and 35239 and find the biggest common factor number .

Step-1: Prime Factorization of 35225

Prime factors of 35225 are 5, 1409. Prime factorization of 35225 in exponential form is:

35225 = 5² × 1409¹

Step-2: Prime Factorization of 35239

Prime factors of 35239 are 131, 269. Prime factorization of 35239 in exponential form is:

35239 = 131¹ × 269¹

Step-3: Factors of 35225

List of positive integer factors of 35225 that divides 35225 without a remainder.

1, 5, 25, 1409, 7045

Step-4: Factors of 35239

List of positive integer factors of 35239 that divides 35225 without a remainder.

1, 131, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35225 and 35239. The biggest common factor number is the GCF number.
So the greatest common factor 35225 and 35239 is 1.

Also check out the Least Common Multiple of 35225 and 35239