What is the Greatest Common Factor of 48140 and 48155?

Greatest common factor (GCF) of 48140 and 48155 is 5.

GCF(48140,48155) = 5

We will now calculate the prime factors of 48140 and 48155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48140 and 48155.

How to find the GCF of 48140 and 48155?

We will first find the prime factorization of 48140 and 48155. After we will calculate the factors of 48140 and 48155 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48155

Prime factors of 48155 are 5, 9631. Prime factorization of 48155 in exponential form is:

48155 = 5¹ × 9631¹

Step-3: Factors of 48140

List of positive integer factors of 48140 that divides 48140 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

Step-4: Factors of 48155

List of positive integer factors of 48155 that divides 48140 without a remainder.

1, 5, 9631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48140 and 48155. The biggest common factor number is the GCF number.
So the greatest common factor 48140 and 48155 is 5.

Also check out the Least Common Multiple of 48140 and 48155