What is the Greatest Common Factor of 49575 and 49583?

Greatest common factor (GCF) of 49575 and 49583 is 1.

GCF(49575,49583) = 1

We will now calculate the prime factors of 49575 and 49583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49575 and 49583.

How to find the GCF of 49575 and 49583?

We will first find the prime factorization of 49575 and 49583. After we will calculate the factors of 49575 and 49583 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 49583

Prime factors of 49583 are 179, 277. Prime factorization of 49583 in exponential form is:

49583 = 179¹ × 277¹

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 49583

List of positive integer factors of 49583 that divides 49575 without a remainder.

1, 179, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49575 and 49583. The biggest common factor number is the GCF number.
So the greatest common factor 49575 and 49583 is 1.

Also check out the Least Common Multiple of 49575 and 49583