What is the Greatest Common Factor of 89378 and 89386?

Greatest common factor (GCF) of 89378 and 89386 is 2.

GCF(89378,89386) = 2

We will now calculate the prime factors of 89378 and 89386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89378 and 89386.

How to find the GCF of 89378 and 89386?

We will first find the prime factorization of 89378 and 89386. After we will calculate the factors of 89378 and 89386 and find the biggest common factor number .

Step-1: Prime Factorization of 89378

Prime factors of 89378 are 2, 23, 29, 67. Prime factorization of 89378 in exponential form is:

89378 = 2¹ × 23¹ × 29¹ × 67¹

Step-2: Prime Factorization of 89386

Prime factors of 89386 are 2, 11, 17, 239. Prime factorization of 89386 in exponential form is:

89386 = 2¹ × 11¹ × 17¹ × 239¹

Step-3: Factors of 89378

List of positive integer factors of 89378 that divides 89378 without a remainder.

1, 2, 23, 29, 46, 58, 67, 134, 667, 1334, 1541, 1943, 3082, 3886, 44689

Step-4: Factors of 89386

List of positive integer factors of 89386 that divides 89378 without a remainder.

1, 2, 11, 17, 22, 34, 187, 239, 374, 478, 2629, 4063, 5258, 8126, 44693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89378 and 89386. The biggest common factor number is the GCF number.
So the greatest common factor 89378 and 89386 is 2.

Also check out the Least Common Multiple of 89378 and 89386