What is the Greatest Common Factor of 48120 and 48125?

Greatest common factor (GCF) of 48120 and 48125 is 5.

GCF(48120,48125) = 5

We will now calculate the prime factors of 48120 and 48125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48120 and 48125.

How to find the GCF of 48120 and 48125?

We will first find the prime factorization of 48120 and 48125. After we will calculate the factors of 48120 and 48125 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48125

Prime factors of 48125 are 5, 7, 11. Prime factorization of 48125 in exponential form is:

48125 = 5⁴ × 7¹ × 11¹

Step-3: Factors of 48120

List of positive integer factors of 48120 that divides 48120 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

Step-4: Factors of 48125

List of positive integer factors of 48125 that divides 48120 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 625, 875, 1375, 1925, 4375, 6875, 9625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48120 and 48125. The biggest common factor number is the GCF number.
So the greatest common factor 48120 and 48125 is 5.

Also check out the Least Common Multiple of 48120 and 48125