What is the Greatest Common Factor of 89426 and 89435?

Greatest common factor (GCF) of 89426 and 89435 is 1.

GCF(89426,89435) = 1

We will now calculate the prime factors of 89426 and 89435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89426 and 89435.

How to find the GCF of 89426 and 89435?

We will first find the prime factorization of 89426 and 89435. After we will calculate the factors of 89426 and 89435 and find the biggest common factor number .

Step-1: Prime Factorization of 89426

Prime factors of 89426 are 2, 61, 733. Prime factorization of 89426 in exponential form is:

89426 = 2¹ × 61¹ × 733¹

Step-2: Prime Factorization of 89435

Prime factors of 89435 are 5, 31, 577. Prime factorization of 89435 in exponential form is:

89435 = 5¹ × 31¹ × 577¹

Step-3: Factors of 89426

List of positive integer factors of 89426 that divides 89426 without a remainder.

1, 2, 61, 122, 733, 1466, 44713

Step-4: Factors of 89435

List of positive integer factors of 89435 that divides 89426 without a remainder.

1, 5, 31, 155, 577, 2885, 17887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89426 and 89435. The biggest common factor number is the GCF number.
So the greatest common factor 89426 and 89435 is 1.

Also check out the Least Common Multiple of 89426 and 89435