What is the Greatest Common Factor of 48355 and 48374?

Greatest common factor (GCF) of 48355 and 48374 is 19.

GCF(48355,48374) = 19

We will now calculate the prime factors of 48355 and 48374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48355 and 48374.

How to find the GCF of 48355 and 48374?

We will first find the prime factorization of 48355 and 48374. After we will calculate the factors of 48355 and 48374 and find the biggest common factor number .

Step-1: Prime Factorization of 48355

Prime factors of 48355 are 5, 19, 509. Prime factorization of 48355 in exponential form is:

48355 = 5¹ × 19¹ × 509¹

Step-2: Prime Factorization of 48374

Prime factors of 48374 are 2, 19, 67. Prime factorization of 48374 in exponential form is:

48374 = 2¹ × 19² × 67¹

Step-3: Factors of 48355

List of positive integer factors of 48355 that divides 48355 without a remainder.

1, 5, 19, 95, 509, 2545, 9671

Step-4: Factors of 48374

List of positive integer factors of 48374 that divides 48355 without a remainder.

1, 2, 19, 38, 67, 134, 361, 722, 1273, 2546, 24187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48355 and 48374. The biggest common factor number is the GCF number.
So the greatest common factor 48355 and 48374 is 19.

Also check out the Least Common Multiple of 48355 and 48374