What is the Greatest Common Factor of 47549 and 47566?

Greatest common factor (GCF) of 47549 and 47566 is 17.

GCF(47549,47566) = 17

We will now calculate the prime factors of 47549 and 47566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47549 and 47566.

How to find the GCF of 47549 and 47566?

We will first find the prime factorization of 47549 and 47566. After we will calculate the factors of 47549 and 47566 and find the biggest common factor number .

Step-1: Prime Factorization of 47549

Prime factors of 47549 are 17, 2797. Prime factorization of 47549 in exponential form is:

47549 = 17¹ × 2797¹

Step-2: Prime Factorization of 47566

Prime factors of 47566 are 2, 17, 1399. Prime factorization of 47566 in exponential form is:

47566 = 2¹ × 17¹ × 1399¹

Step-3: Factors of 47549

List of positive integer factors of 47549 that divides 47549 without a remainder.

1, 17, 2797

Step-4: Factors of 47566

List of positive integer factors of 47566 that divides 47549 without a remainder.

1, 2, 17, 34, 1399, 2798, 23783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47549 and 47566. The biggest common factor number is the GCF number.
So the greatest common factor 47549 and 47566 is 17.

Also check out the Least Common Multiple of 47549 and 47566