What is the Greatest Common Factor of 49575 and 49585?

Greatest common factor (GCF) of 49575 and 49585 is 5.

GCF(49575,49585) = 5

We will now calculate the prime factors of 49575 and 49585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49575 and 49585.

How to find the GCF of 49575 and 49585?

We will first find the prime factorization of 49575 and 49585. After we will calculate the factors of 49575 and 49585 and find the biggest common factor number .

Step-1: Prime Factorization of 49575

Prime factors of 49575 are 3, 5, 661. Prime factorization of 49575 in exponential form is:

49575 = 3¹ × 5² × 661¹

Step-2: Prime Factorization of 49585

Prime factors of 49585 are 5, 47, 211. Prime factorization of 49585 in exponential form is:

49585 = 5¹ × 47¹ × 211¹

Step-3: Factors of 49575

List of positive integer factors of 49575 that divides 49575 without a remainder.

1, 3, 5, 15, 25, 75, 661, 1983, 3305, 9915, 16525

Step-4: Factors of 49585

List of positive integer factors of 49585 that divides 49575 without a remainder.

1, 5, 47, 211, 235, 1055, 9917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49575 and 49585. The biggest common factor number is the GCF number.
So the greatest common factor 49575 and 49585 is 5.

Also check out the Least Common Multiple of 49575 and 49585