What is the Greatest Common Factor of 49575 and 49586?

Greatest common factor (GCF) of 49575 and 49586 is 1.

GCF(49575,49586) = 1

We will now calculate the prime factors of 49575 and 49586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49575 and 49586.

How to find the GCF of 49575 and 49586?

We will first find the prime factorization of 49575 and 49586. After we will calculate the factors of 49575 and 49586 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 49586

Prime factors of 49586 are 2, 24793. Prime factorization of 49586 in exponential form is:

49586 = 2¹ × 24793¹

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 49586

List of positive integer factors of 49586 that divides 49575 without a remainder.

1, 2, 24793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49575 and 49586. The biggest common factor number is the GCF number.
So the greatest common factor 49575 and 49586 is 1.

Also check out the Least Common Multiple of 49575 and 49586