What is the Greatest Common Factor of 48100 and 48108?

Greatest common factor (GCF) of 48100 and 48108 is 4.

GCF(48100,48108) = 4

We will now calculate the prime factors of 48100 and 48108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48100 and 48108.

How to find the GCF of 48100 and 48108?

We will first find the prime factorization of 48100 and 48108. After we will calculate the factors of 48100 and 48108 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48108

Prime factors of 48108 are 2, 3, 19, 211. Prime factorization of 48108 in exponential form is:

48108 = 2² × 3¹ × 19¹ × 211¹

Step-3: Factors of 48100

List of positive integer factors of 48100 that divides 48100 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

Step-4: Factors of 48108

List of positive integer factors of 48108 that divides 48100 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 211, 228, 422, 633, 844, 1266, 2532, 4009, 8018, 12027, 16036, 24054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48100 and 48108. The biggest common factor number is the GCF number.
So the greatest common factor 48100 and 48108 is 4.

Also check out the Least Common Multiple of 48100 and 48108