What is the Greatest Common Factor of 48087 and 48100?

Greatest common factor (GCF) of 48087 and 48100 is 13.

GCF(48087,48100) = 13

We will now calculate the prime factors of 48087 and 48100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48087 and 48100.

How to find the GCF of 48087 and 48100?

We will first find the prime factorization of 48087 and 48100. After we will calculate the factors of 48087 and 48100 and find the biggest common factor number .

Step-1: Prime Factorization of 48087

Prime factors of 48087 are 3, 13, 137. Prime factorization of 48087 in exponential form is:

48087 = 3³ × 13¹ × 137¹

Step-2: Prime Factorization of 48100

Prime factors of 48100 are 2, 5, 13, 37. Prime factorization of 48100 in exponential form is:

48100 = 2² × 5² × 13¹ × 37¹

Step-3: Factors of 48087

List of positive integer factors of 48087 that divides 48087 without a remainder.

1, 3, 9, 13, 27, 39, 117, 137, 351, 411, 1233, 1781, 3699, 5343, 16029

Step-4: Factors of 48100

List of positive integer factors of 48100 that divides 48087 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 37, 50, 52, 65, 74, 100, 130, 148, 185, 260, 325, 370, 481, 650, 740, 925, 962, 1300, 1850, 1924, 2405, 3700, 4810, 9620, 12025, 24050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48087 and 48100. The biggest common factor number is the GCF number.
So the greatest common factor 48087 and 48100 is 13.

Also check out the Least Common Multiple of 48087 and 48100