What is the Greatest Common Factor of 49488 and 49503?

Greatest common factor (GCF) of 49488 and 49503 is 3.

GCF(49488,49503) = 3

We will now calculate the prime factors of 49488 and 49503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49488 and 49503.

How to find the GCF of 49488 and 49503?

We will first find the prime factorization of 49488 and 49503. After we will calculate the factors of 49488 and 49503 and find the biggest common factor number .

Step-1: Prime Factorization of 49488

Prime factors of 49488 are 2, 3, 1031. Prime factorization of 49488 in exponential form is:

49488 = 2⁴ × 3¹ × 1031¹

Step-2: Prime Factorization of 49503

Prime factors of 49503 are 3, 29, 569. Prime factorization of 49503 in exponential form is:

49503 = 3¹ × 29¹ × 569¹

Step-3: Factors of 49488

List of positive integer factors of 49488 that divides 49488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 16496, 24744

Step-4: Factors of 49503

List of positive integer factors of 49503 that divides 49488 without a remainder.

1, 3, 29, 87, 569, 1707, 16501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49488 and 49503. The biggest common factor number is the GCF number.
So the greatest common factor 49488 and 49503 is 3.

Also check out the Least Common Multiple of 49488 and 49503