What is the Greatest Common Factor of 70225 and 70239?

Greatest common factor (GCF) of 70225 and 70239 is 1.

GCF(70225,70239) = 1

We will now calculate the prime factors of 70225 and 70239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70225 and 70239.

How to find the GCF of 70225 and 70239?

We will first find the prime factorization of 70225 and 70239. After we will calculate the factors of 70225 and 70239 and find the biggest common factor number .

Step-1: Prime Factorization of 70225

Prime factors of 70225 are 5, 53. Prime factorization of 70225 in exponential form is:

70225 = 5² × 53²

Step-2: Prime Factorization of 70239

Prime factors of 70239 are 3, 13, 1801. Prime factorization of 70239 in exponential form is:

70239 = 3¹ × 13¹ × 1801¹

Step-3: Factors of 70225

List of positive integer factors of 70225 that divides 70225 without a remainder.

1, 5, 25, 53, 265, 1325, 2809, 14045

Step-4: Factors of 70239

List of positive integer factors of 70239 that divides 70225 without a remainder.

1, 3, 13, 39, 1801, 5403, 23413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70225 and 70239. The biggest common factor number is the GCF number.
So the greatest common factor 70225 and 70239 is 1.

Also check out the Least Common Multiple of 70225 and 70239