What is the Greatest Common Factor of 47361 and 47369?

Greatest common factor (GCF) of 47361 and 47369 is 1.

GCF(47361,47369) = 1

We will now calculate the prime factors of 47361 and 47369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47361 and 47369.

How to find the GCF of 47361 and 47369?

We will first find the prime factorization of 47361 and 47369. After we will calculate the factors of 47361 and 47369 and find the biggest common factor number .

Step-1: Prime Factorization of 47361

Prime factors of 47361 are 3, 15787. Prime factorization of 47361 in exponential form is:

47361 = 3¹ × 15787¹

Step-2: Prime Factorization of 47369

Prime factors of 47369 are 7, 67, 101. Prime factorization of 47369 in exponential form is:

47369 = 7¹ × 67¹ × 101¹

Step-3: Factors of 47361

List of positive integer factors of 47361 that divides 47361 without a remainder.

1, 3, 15787

Step-4: Factors of 47369

List of positive integer factors of 47369 that divides 47361 without a remainder.

1, 7, 67, 101, 469, 707, 6767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47361 and 47369. The biggest common factor number is the GCF number.
So the greatest common factor 47361 and 47369 is 1.

Also check out the Least Common Multiple of 47361 and 47369