What is the Greatest Common Factor of 48454 and 48461?

Greatest common factor (GCF) of 48454 and 48461 is 7.

GCF(48454,48461) = 7

We will now calculate the prime factors of 48454 and 48461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48454 and 48461.

How to find the GCF of 48454 and 48461?

We will first find the prime factorization of 48454 and 48461. After we will calculate the factors of 48454 and 48461 and find the biggest common factor number .

Step-1: Prime Factorization of 48454

Prime factors of 48454 are 2, 7, 3461. Prime factorization of 48454 in exponential form is:

48454 = 2¹ × 7¹ × 3461¹

Step-2: 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-3: Factors of 48454

List of positive integer factors of 48454 that divides 48454 without a remainder.

1, 2, 7, 14, 3461, 6922, 24227

Step-4: Factors of 48461

List of positive integer factors of 48461 that divides 48454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48454 and 48461. The biggest common factor number is the GCF number.
So the greatest common factor 48454 and 48461 is 7.

Also check out the Least Common Multiple of 48454 and 48461