What is the Greatest Common Factor of 49357 and 49375?

Greatest common factor (GCF) of 49357 and 49375 is 1.

GCF(49357,49375) = 1

We will now calculate the prime factors of 49357 and 49375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49357 and 49375.

How to find the GCF of 49357 and 49375?

We will first find the prime factorization of 49357 and 49375. After we will calculate the factors of 49357 and 49375 and find the biggest common factor number .

Step-1: Prime Factorization of 49357

Prime factors of 49357 are 7, 11, 641. Prime factorization of 49357 in exponential form is:

49357 = 7¹ × 11¹ × 641¹

Step-2: Prime Factorization of 49375

Prime factors of 49375 are 5, 79. Prime factorization of 49375 in exponential form is:

49375 = 5⁴ × 79¹

Step-3: Factors of 49357

List of positive integer factors of 49357 that divides 49357 without a remainder.

1, 7, 11, 77, 641, 4487, 7051

Step-4: Factors of 49375

List of positive integer factors of 49375 that divides 49357 without a remainder.

1, 5, 25, 79, 125, 395, 625, 1975, 9875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49357 and 49375. The biggest common factor number is the GCF number.
So the greatest common factor 49357 and 49375 is 1.

Also check out the Least Common Multiple of 49357 and 49375