What is the Greatest Common Factor of 88486 and 88504?

Greatest common factor (GCF) of 88486 and 88504 is 2.

GCF(88486,88504) = 2

We will now calculate the prime factors of 88486 and 88504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88486 and 88504.

How to find the GCF of 88486 and 88504?

We will first find the prime factorization of 88486 and 88504. After we will calculate the factors of 88486 and 88504 and find the biggest common factor number .

Step-1: Prime Factorization of 88486

Prime factors of 88486 are 2, 151, 293. Prime factorization of 88486 in exponential form is:

88486 = 2¹ × 151¹ × 293¹

Step-2: Prime Factorization of 88504

Prime factors of 88504 are 2, 13, 23, 37. Prime factorization of 88504 in exponential form is:

88504 = 2³ × 13¹ × 23¹ × 37¹

Step-3: Factors of 88486

List of positive integer factors of 88486 that divides 88486 without a remainder.

1, 2, 151, 293, 302, 586, 44243

Step-4: Factors of 88504

List of positive integer factors of 88504 that divides 88486 without a remainder.

1, 2, 4, 8, 13, 23, 26, 37, 46, 52, 74, 92, 104, 148, 184, 296, 299, 481, 598, 851, 962, 1196, 1702, 1924, 2392, 3404, 3848, 6808, 11063, 22126, 44252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88486 and 88504. The biggest common factor number is the GCF number.
So the greatest common factor 88486 and 88504 is 2.

Also check out the Least Common Multiple of 88486 and 88504