What is the Greatest Common Factor of 89626 and 89635?

Greatest common factor (GCF) of 89626 and 89635 is 1.

GCF(89626,89635) = 1

We will now calculate the prime factors of 89626 and 89635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89626 and 89635.

How to find the GCF of 89626 and 89635?

We will first find the prime factorization of 89626 and 89635. After we will calculate the factors of 89626 and 89635 and find the biggest common factor number .

Step-1: Prime Factorization of 89626

Prime factors of 89626 are 2, 41, 1093. Prime factorization of 89626 in exponential form is:

89626 = 2¹ × 41¹ × 1093¹

Step-2: Prime Factorization of 89635

Prime factors of 89635 are 5, 7, 13, 197. Prime factorization of 89635 in exponential form is:

89635 = 5¹ × 7¹ × 13¹ × 197¹

Step-3: Factors of 89626

List of positive integer factors of 89626 that divides 89626 without a remainder.

1, 2, 41, 82, 1093, 2186, 44813

Step-4: Factors of 89635

List of positive integer factors of 89635 that divides 89626 without a remainder.

1, 5, 7, 13, 35, 65, 91, 197, 455, 985, 1379, 2561, 6895, 12805, 17927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89626 and 89635. The biggest common factor number is the GCF number.
So the greatest common factor 89626 and 89635 is 1.

Also check out the Least Common Multiple of 89626 and 89635