What is the Greatest Common Factor of 49625 and 49643?

Greatest common factor (GCF) of 49625 and 49643 is 1.

GCF(49625,49643) = 1

We will now calculate the prime factors of 49625 and 49643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49625 and 49643.

How to find the GCF of 49625 and 49643?

We will first find the prime factorization of 49625 and 49643. After we will calculate the factors of 49625 and 49643 and find the biggest common factor number .

Step-1: Prime Factorization of 49625

Prime factors of 49625 are 5, 397. Prime factorization of 49625 in exponential form is:

49625 = 5³ × 397¹

Step-2: Prime Factorization of 49643

Prime factors of 49643 are 11, 4513. Prime factorization of 49643 in exponential form is:

49643 = 11¹ × 4513¹

Step-3: Factors of 49625

List of positive integer factors of 49625 that divides 49625 without a remainder.

1, 5, 25, 125, 397, 1985, 9925

Step-4: Factors of 49643

List of positive integer factors of 49643 that divides 49625 without a remainder.

1, 11, 4513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49625 and 49643. The biggest common factor number is the GCF number.
So the greatest common factor 49625 and 49643 is 1.

Also check out the Least Common Multiple of 49625 and 49643