What is the Greatest Common Factor of 89425 and 89438?

Greatest common factor (GCF) of 89425 and 89438 is 1.

GCF(89425,89438) = 1

We will now calculate the prime factors of 89425 and 89438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89425 and 89438.

How to find the GCF of 89425 and 89438?

We will first find the prime factorization of 89425 and 89438. After we will calculate the factors of 89425 and 89438 and find the biggest common factor number .

Step-1: Prime Factorization of 89425

Prime factors of 89425 are 5, 7, 73. Prime factorization of 89425 in exponential form is:

89425 = 5² × 7² × 73¹

Step-2: Prime Factorization of 89438

Prime factors of 89438 are 2, 197, 227. Prime factorization of 89438 in exponential form is:

89438 = 2¹ × 197¹ × 227¹

Step-3: Factors of 89425

List of positive integer factors of 89425 that divides 89425 without a remainder.

1, 5, 7, 25, 35, 49, 73, 175, 245, 365, 511, 1225, 1825, 2555, 3577, 12775, 17885

Step-4: Factors of 89438

List of positive integer factors of 89438 that divides 89425 without a remainder.

1, 2, 197, 227, 394, 454, 44719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89425 and 89438. The biggest common factor number is the GCF number.
So the greatest common factor 89425 and 89438 is 1.

Also check out the Least Common Multiple of 89425 and 89438