What is the Greatest Common Factor of 88494 and 88503?

Greatest common factor (GCF) of 88494 and 88503 is 3.

GCF(88494,88503) = 3

We will now calculate the prime factors of 88494 and 88503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88494 and 88503.

How to find the GCF of 88494 and 88503?

We will first find the prime factorization of 88494 and 88503. After we will calculate the factors of 88494 and 88503 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 88503

Prime factors of 88503 are 3, 29501. Prime factorization of 88503 in exponential form is:

88503 = 3¹ × 29501¹

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 88503

List of positive integer factors of 88503 that divides 88494 without a remainder.

1, 3, 29501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88494 and 88503. The biggest common factor number is the GCF number.
So the greatest common factor 88494 and 88503 is 3.

Also check out the Least Common Multiple of 88494 and 88503