What is the Greatest Common Factor of 89414 and 89425?

Greatest common factor (GCF) of 89414 and 89425 is 1.

GCF(89414,89425) = 1

We will now calculate the prime factors of 89414 and 89425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89414 and 89425.

How to find the GCF of 89414 and 89425?

We will first find the prime factorization of 89414 and 89425. After we will calculate the factors of 89414 and 89425 and find the biggest common factor number .

Step-1: Prime Factorization of 89414

Prime factors of 89414 are 2, 13, 19, 181. Prime factorization of 89414 in exponential form is:

89414 = 2¹ × 13¹ × 19¹ × 181¹

Step-2: 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-3: Factors of 89414

List of positive integer factors of 89414 that divides 89414 without a remainder.

1, 2, 13, 19, 26, 38, 181, 247, 362, 494, 2353, 3439, 4706, 6878, 44707

Step-4: Factors of 89425

List of positive integer factors of 89425 that divides 89414 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89414 and 89425. The biggest common factor number is the GCF number.
So the greatest common factor 89414 and 89425 is 1.

Also check out the Least Common Multiple of 89414 and 89425