What is the Greatest Common Factor of 48111 and 48120?

Greatest common factor (GCF) of 48111 and 48120 is 3.

GCF(48111,48120) = 3

We will now calculate the prime factors of 48111 and 48120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48111 and 48120.

How to find the GCF of 48111 and 48120?

We will first find the prime factorization of 48111 and 48120. After we will calculate the factors of 48111 and 48120 and find the biggest common factor number .

Step-1: Prime Factorization of 48111

Prime factors of 48111 are 3, 7, 29, 79. Prime factorization of 48111 in exponential form is:

48111 = 3¹ × 7¹ × 29¹ × 79¹

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 48111

List of positive integer factors of 48111 that divides 48111 without a remainder.

1, 3, 7, 21, 29, 79, 87, 203, 237, 553, 609, 1659, 2291, 6873, 16037

Step-4: Factors of 48120

List of positive integer factors of 48120 that divides 48111 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 48111 and 48120. The biggest common factor number is the GCF number.
So the greatest common factor 48111 and 48120 is 3.

Also check out the Least Common Multiple of 48111 and 48120