What is the Greatest Common Factor of 88503 and 88512?

Greatest common factor (GCF) of 88503 and 88512 is 3.

GCF(88503,88512) = 3

We will now calculate the prime factors of 88503 and 88512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88503 and 88512.

How to find the GCF of 88503 and 88512?

We will first find the prime factorization of 88503 and 88512. After we will calculate the factors of 88503 and 88512 and find the biggest common factor number .

Step-1: Prime Factorization of 88503

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

88503 = 3¹ × 29501¹

Step-2: Prime Factorization of 88512

Prime factors of 88512 are 2, 3, 461. Prime factorization of 88512 in exponential form is:

88512 = 2⁶ × 3¹ × 461¹

Step-3: Factors of 88503

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

1, 3, 29501

Step-4: Factors of 88512

List of positive integer factors of 88512 that divides 88503 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 461, 922, 1383, 1844, 2766, 3688, 5532, 7376, 11064, 14752, 22128, 29504, 44256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88503 and 88512. The biggest common factor number is the GCF number.
So the greatest common factor 88503 and 88512 is 3.

Also check out the Least Common Multiple of 88503 and 88512