What is the Greatest Common Factor of 48100 and 48104?

Greatest common factor (GCF) of 48100 and 48104 is 4.

GCF(48100,48104) = 4

We will now calculate the prime factors of 48100 and 48104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48100 and 48104.

How to find the GCF of 48100 and 48104?

We will first find the prime factorization of 48100 and 48104. After we will calculate the factors of 48100 and 48104 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 48104

Prime factors of 48104 are 2, 7, 859. Prime factorization of 48104 in exponential form is:

48104 = 2³ × 7¹ × 859¹

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 48104

List of positive integer factors of 48104 that divides 48100 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 859, 1718, 3436, 6013, 6872, 12026, 24052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48100 and 48104. The biggest common factor number is the GCF number.
So the greatest common factor 48100 and 48104 is 4.

Also check out the Least Common Multiple of 48100 and 48104