What is the Greatest Common Factor of 89698 and 89705?

Greatest common factor (GCF) of 89698 and 89705 is 7.

GCF(89698,89705) = 7

We will now calculate the prime factors of 89698 and 89705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89698 and 89705.

How to find the GCF of 89698 and 89705?

We will first find the prime factorization of 89698 and 89705. After we will calculate the factors of 89698 and 89705 and find the biggest common factor number .

Step-1: Prime Factorization of 89698

Prime factors of 89698 are 2, 7, 43, 149. Prime factorization of 89698 in exponential form is:

89698 = 2¹ × 7¹ × 43¹ × 149¹

Step-2: Prime Factorization of 89705

Prime factors of 89705 are 5, 7, 11, 233. Prime factorization of 89705 in exponential form is:

89705 = 5¹ × 7¹ × 11¹ × 233¹

Step-3: Factors of 89698

List of positive integer factors of 89698 that divides 89698 without a remainder.

1, 2, 7, 14, 43, 86, 149, 298, 301, 602, 1043, 2086, 6407, 12814, 44849

Step-4: Factors of 89705

List of positive integer factors of 89705 that divides 89698 without a remainder.

1, 5, 7, 11, 35, 55, 77, 233, 385, 1165, 1631, 2563, 8155, 12815, 17941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89698 and 89705. The biggest common factor number is the GCF number.
So the greatest common factor 89698 and 89705 is 7.

Also check out the Least Common Multiple of 89698 and 89705