What is the Greatest Common Factor of 48120 and 48140?

Greatest common factor (GCF) of 48120 and 48140 is 20.

GCF(48120,48140) = 20

We will now calculate the prime factors of 48120 and 48140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48120 and 48140.

How to find the GCF of 48120 and 48140?

We will first find the prime factorization of 48120 and 48140. After we will calculate the factors of 48120 and 48140 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 48140

Prime factors of 48140 are 2, 5, 29, 83. Prime factorization of 48140 in exponential form is:

48140 = 2² × 5¹ × 29¹ × 83¹

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 48140

List of positive integer factors of 48140 that divides 48120 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 83, 116, 145, 166, 290, 332, 415, 580, 830, 1660, 2407, 4814, 9628, 12035, 24070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48120 and 48140. The biggest common factor number is the GCF number.
So the greatest common factor 48120 and 48140 is 20.

Also check out the Least Common Multiple of 48120 and 48140