What is the Greatest Common Factor of 48690 and 48696?

Greatest common factor (GCF) of 48690 and 48696 is 6.

GCF(48690,48696) = 6

We will now calculate the prime factors of 48690 and 48696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48690 and 48696.

How to find the GCF of 48690 and 48696?

We will first find the prime factorization of 48690 and 48696. After we will calculate the factors of 48690 and 48696 and find the biggest common factor number .

Step-1: Prime Factorization of 48690

Prime factors of 48690 are 2, 3, 5, 541. Prime factorization of 48690 in exponential form is:

48690 = 2¹ × 3² × 5¹ × 541¹

Step-2: Prime Factorization of 48696

Prime factors of 48696 are 2, 3, 2029. Prime factorization of 48696 in exponential form is:

48696 = 2³ × 3¹ × 2029¹

Step-3: Factors of 48690

List of positive integer factors of 48690 that divides 48690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 541, 1082, 1623, 2705, 3246, 4869, 5410, 8115, 9738, 16230, 24345

Step-4: Factors of 48696

List of positive integer factors of 48696 that divides 48690 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2029, 4058, 6087, 8116, 12174, 16232, 24348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48690 and 48696. The biggest common factor number is the GCF number.
So the greatest common factor 48690 and 48696 is 6.

Also check out the Least Common Multiple of 48690 and 48696