What is the Greatest Common Factor of 48088 and 48100?

Greatest common factor (GCF) of 48088 and 48100 is 4.

GCF(48088,48100) = 4

We will now calculate the prime factors of 48088 and 48100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48088 and 48100.

How to find the GCF of 48088 and 48100?

We will first find the prime factorization of 48088 and 48100. After we will calculate the factors of 48088 and 48100 and find the biggest common factor number .

Step-1: Prime Factorization of 48088

Prime factors of 48088 are 2, 6011. Prime factorization of 48088 in exponential form is:

48088 = 2³ × 6011¹

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 48088

List of positive integer factors of 48088 that divides 48088 without a remainder.

1, 2, 4, 8, 6011, 12022, 24044

Step-4: Factors of 48100

List of positive integer factors of 48100 that divides 48088 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 48088 and 48100. The biggest common factor number is the GCF number.
So the greatest common factor 48088 and 48100 is 4.

Also check out the Least Common Multiple of 48088 and 48100