What is the Greatest Common Factor of 48258 and 48270?

Greatest common factor (GCF) of 48258 and 48270 is 6.

GCF(48258,48270) = 6

We will now calculate the prime factors of 48258 and 48270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48258 and 48270.

How to find the GCF of 48258 and 48270?

We will first find the prime factorization of 48258 and 48270. After we will calculate the factors of 48258 and 48270 and find the biggest common factor number .

Step-1: Prime Factorization of 48258

Prime factors of 48258 are 2, 3, 7, 383. Prime factorization of 48258 in exponential form is:

48258 = 2¹ × 3² × 7¹ × 383¹

Step-2: 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-3: Factors of 48258

List of positive integer factors of 48258 that divides 48258 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 383, 766, 1149, 2298, 2681, 3447, 5362, 6894, 8043, 16086, 24129

Step-4: Factors of 48270

List of positive integer factors of 48270 that divides 48258 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48258 and 48270. The biggest common factor number is the GCF number.
So the greatest common factor 48258 and 48270 is 6.

Also check out the Least Common Multiple of 48258 and 48270