What is the Greatest Common Factor of 47464 and 47473?

Greatest common factor (GCF) of 47464 and 47473 is 1.

GCF(47464,47473) = 1

We will now calculate the prime factors of 47464 and 47473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47464 and 47473.

How to find the GCF of 47464 and 47473?

We will first find the prime factorization of 47464 and 47473. After we will calculate the factors of 47464 and 47473 and find the biggest common factor number .

Step-1: Prime Factorization of 47464

Prime factors of 47464 are 2, 17, 349. Prime factorization of 47464 in exponential form is:

47464 = 2³ × 17¹ × 349¹

Step-2: Prime Factorization of 47473

Prime factors of 47473 are 29, 1637. Prime factorization of 47473 in exponential form is:

47473 = 29¹ × 1637¹

Step-3: Factors of 47464

List of positive integer factors of 47464 that divides 47464 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 349, 698, 1396, 2792, 5933, 11866, 23732

Step-4: Factors of 47473

List of positive integer factors of 47473 that divides 47464 without a remainder.

1, 29, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47464 and 47473. The biggest common factor number is the GCF number.
So the greatest common factor 47464 and 47473 is 1.

Also check out the Least Common Multiple of 47464 and 47473