What is the Greatest Common Factor of 49605 and 49625?

Greatest common factor (GCF) of 49605 and 49625 is 5.

GCF(49605,49625) = 5

We will now calculate the prime factors of 49605 and 49625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49605 and 49625.

How to find the GCF of 49605 and 49625?

We will first find the prime factorization of 49605 and 49625. After we will calculate the factors of 49605 and 49625 and find the biggest common factor number .

Step-1: Prime Factorization of 49605

Prime factors of 49605 are 3, 5, 3307. Prime factorization of 49605 in exponential form is:

49605 = 3¹ × 5¹ × 3307¹

Step-2: Prime Factorization of 49625

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

49625 = 5³ × 397¹

Step-3: Factors of 49605

List of positive integer factors of 49605 that divides 49605 without a remainder.

1, 3, 5, 15, 3307, 9921, 16535

Step-4: Factors of 49625

List of positive integer factors of 49625 that divides 49605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49605 and 49625. The biggest common factor number is the GCF number.
So the greatest common factor 49605 and 49625 is 5.

Also check out the Least Common Multiple of 49605 and 49625