What is the Greatest Common Factor of 48461 and 48468?

Greatest common factor (GCF) of 48461 and 48468 is 7.

GCF(48461,48468) = 7

We will now calculate the prime factors of 48461 and 48468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48461 and 48468.

How to find the GCF of 48461 and 48468?

We will first find the prime factorization of 48461 and 48468. After we will calculate the factors of 48461 and 48468 and find the biggest common factor number .

Step-1: Prime Factorization of 48461

Prime factors of 48461 are 7, 23, 43. Prime factorization of 48461 in exponential form is:

48461 = 7² × 23¹ × 43¹

Step-2: Prime Factorization of 48468

Prime factors of 48468 are 2, 3, 7, 577. Prime factorization of 48468 in exponential form is:

48468 = 2² × 3¹ × 7¹ × 577¹

Step-3: Factors of 48461

List of positive integer factors of 48461 that divides 48461 without a remainder.

1, 7, 23, 43, 49, 161, 301, 989, 1127, 2107, 6923

Step-4: Factors of 48468

List of positive integer factors of 48468 that divides 48461 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 577, 1154, 1731, 2308, 3462, 4039, 6924, 8078, 12117, 16156, 24234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48461 and 48468. The biggest common factor number is the GCF number.
So the greatest common factor 48461 and 48468 is 7.

Also check out the Least Common Multiple of 48461 and 48468