What is the Greatest Common Factor of 48345 and 48354?

Greatest common factor (GCF) of 48345 and 48354 is 3.

GCF(48345,48354) = 3

We will now calculate the prime factors of 48345 and 48354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48345 and 48354.

How to find the GCF of 48345 and 48354?

We will first find the prime factorization of 48345 and 48354. After we will calculate the factors of 48345 and 48354 and find the biggest common factor number .

Step-1: Prime Factorization of 48345

Prime factors of 48345 are 3, 5, 11, 293. Prime factorization of 48345 in exponential form is:

48345 = 3¹ × 5¹ × 11¹ × 293¹

Step-2: Prime Factorization of 48354

Prime factors of 48354 are 2, 3, 8059. Prime factorization of 48354 in exponential form is:

48354 = 2¹ × 3¹ × 8059¹

Step-3: Factors of 48345

List of positive integer factors of 48345 that divides 48345 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 293, 879, 1465, 3223, 4395, 9669, 16115

Step-4: Factors of 48354

List of positive integer factors of 48354 that divides 48345 without a remainder.

1, 2, 3, 6, 8059, 16118, 24177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48345 and 48354. The biggest common factor number is the GCF number.
So the greatest common factor 48345 and 48354 is 3.

Also check out the Least Common Multiple of 48345 and 48354