What is the Greatest Common Factor of 49564 and 49583?

Greatest common factor (GCF) of 49564 and 49583 is 1.

GCF(49564,49583) = 1

We will now calculate the prime factors of 49564 and 49583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49564 and 49583.

How to find the GCF of 49564 and 49583?

We will first find the prime factorization of 49564 and 49583. After we will calculate the factors of 49564 and 49583 and find the biggest common factor number .

Step-1: Prime Factorization of 49564

Prime factors of 49564 are 2, 12391. Prime factorization of 49564 in exponential form is:

49564 = 2² × 12391¹

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 49564

List of positive integer factors of 49564 that divides 49564 without a remainder.

1, 2, 4, 12391, 24782

Step-4: Factors of 49583

List of positive integer factors of 49583 that divides 49564 without a remainder.

1, 179, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49564 and 49583. The biggest common factor number is the GCF number.
So the greatest common factor 49564 and 49583 is 1.

Also check out the Least Common Multiple of 49564 and 49583