What is the Greatest Common Factor of 48270 and 48275?

Greatest common factor (GCF) of 48270 and 48275 is 5.

GCF(48270,48275) = 5

We will now calculate the prime factors of 48270 and 48275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48270 and 48275.

How to find the GCF of 48270 and 48275?

We will first find the prime factorization of 48270 and 48275. After we will calculate the factors of 48270 and 48275 and find the biggest common factor number .

Step-1: Prime Factorization of 48270

Prime factors of 48270 are 2, 3, 5, 1609. Prime factorization of 48270 in exponential form is:

48270 = 2¹ × 3¹ × 5¹ × 1609¹

Step-2: Prime Factorization of 48275

Prime factors of 48275 are 5, 1931. Prime factorization of 48275 in exponential form is:

48275 = 5² × 1931¹

Step-3: Factors of 48270

List of positive integer factors of 48270 that divides 48270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1609, 3218, 4827, 8045, 9654, 16090, 24135

Step-4: Factors of 48275

List of positive integer factors of 48275 that divides 48270 without a remainder.

1, 5, 25, 1931, 9655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48270 and 48275. The biggest common factor number is the GCF number.
So the greatest common factor 48270 and 48275 is 5.

Also check out the Least Common Multiple of 48270 and 48275