What is the Greatest Common Factor of 59225 and 59242?

Greatest common factor (GCF) of 59225 and 59242 is 1.

GCF(59225,59242) = 1

We will now calculate the prime factors of 59225 and 59242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59225 and 59242.

How to find the GCF of 59225 and 59242?

We will first find the prime factorization of 59225 and 59242. After we will calculate the factors of 59225 and 59242 and find the biggest common factor number .

Step-1: Prime Factorization of 59225

Prime factors of 59225 are 5, 23, 103. Prime factorization of 59225 in exponential form is:

59225 = 5² × 23¹ × 103¹

Step-2: Prime Factorization of 59242

Prime factors of 59242 are 2, 19, 1559. Prime factorization of 59242 in exponential form is:

59242 = 2¹ × 19¹ × 1559¹

Step-3: Factors of 59225

List of positive integer factors of 59225 that divides 59225 without a remainder.

1, 5, 23, 25, 103, 115, 515, 575, 2369, 2575, 11845

Step-4: Factors of 59242

List of positive integer factors of 59242 that divides 59225 without a remainder.

1, 2, 19, 38, 1559, 3118, 29621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59225 and 59242. The biggest common factor number is the GCF number.
So the greatest common factor 59225 and 59242 is 1.

Also check out the Least Common Multiple of 59225 and 59242