What is the Greatest Common Factor of 48100 and 48120?

Greatest common factor (GCF) of 48100 and 48120 is 20.

GCF(48100,48120) = 20

We will now calculate the prime factors of 48100 and 48120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48100 and 48120.

How to find the GCF of 48100 and 48120?

We will first find the prime factorization of 48100 and 48120. After we will calculate the factors of 48100 and 48120 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 48120

Prime factors of 48120 are 2, 3, 5, 401. Prime factorization of 48120 in exponential form is:

48120 = 2³ × 3¹ × 5¹ × 401¹

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 48120

List of positive integer factors of 48120 that divides 48100 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 401, 802, 1203, 1604, 2005, 2406, 3208, 4010, 4812, 6015, 8020, 9624, 12030, 16040, 24060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48100 and 48120. The biggest common factor number is the GCF number.
So the greatest common factor 48100 and 48120 is 20.

Also check out the Least Common Multiple of 48100 and 48120