What is the Greatest Common Factor of 88494 and 88498?

Greatest common factor (GCF) of 88494 and 88498 is 2.

GCF(88494,88498) = 2

We will now calculate the prime factors of 88494 and 88498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88494 and 88498.

How to find the GCF of 88494 and 88498?

We will first find the prime factorization of 88494 and 88498. After we will calculate the factors of 88494 and 88498 and find the biggest common factor number .

Step-1: Prime Factorization of 88494

Prime factors of 88494 are 2, 3, 7, 43. Prime factorization of 88494 in exponential form is:

88494 = 2¹ × 3¹ × 7³ × 43¹

Step-2: Prime Factorization of 88498

Prime factors of 88498 are 2, 44249. Prime factorization of 88498 in exponential form is:

88498 = 2¹ × 44249¹

Step-3: Factors of 88494

List of positive integer factors of 88494 that divides 88494 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 43, 49, 86, 98, 129, 147, 258, 294, 301, 343, 602, 686, 903, 1029, 1806, 2058, 2107, 4214, 6321, 12642, 14749, 29498, 44247

Step-4: Factors of 88498

List of positive integer factors of 88498 that divides 88494 without a remainder.

1, 2, 44249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88494 and 88498. The biggest common factor number is the GCF number.
So the greatest common factor 88494 and 88498 is 2.

Also check out the Least Common Multiple of 88494 and 88498