What is the Greatest Common Factor of 89698 and 89710?

Greatest common factor (GCF) of 89698 and 89710 is 2.

GCF(89698,89710) = 2

We will now calculate the prime factors of 89698 and 89710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89698 and 89710.

How to find the GCF of 89698 and 89710?

We will first find the prime factorization of 89698 and 89710. After we will calculate the factors of 89698 and 89710 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 89710

Prime factors of 89710 are 2, 5, 8971. Prime factorization of 89710 in exponential form is:

89710 = 2¹ × 5¹ × 8971¹

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 89710

List of positive integer factors of 89710 that divides 89698 without a remainder.

1, 2, 5, 10, 8971, 17942, 44855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89698 and 89710. The biggest common factor number is the GCF number.
So the greatest common factor 89698 and 89710 is 2.

Also check out the Least Common Multiple of 89698 and 89710