What is the Greatest Common Factor of 47821 and 47827?

Greatest common factor (GCF) of 47821 and 47827 is 1.

GCF(47821,47827) = 1

We will now calculate the prime factors of 47821 and 47827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47821 and 47827.

How to find the GCF of 47821 and 47827?

We will first find the prime factorization of 47821 and 47827. After we will calculate the factors of 47821 and 47827 and find the biggest common factor number .

Step-1: Prime Factorization of 47821

Prime factors of 47821 are 17, 29, 97. Prime factorization of 47821 in exponential form is:

47821 = 17¹ × 29¹ × 97¹

Step-2: Prime Factorization of 47827

Prime factors of 47827 are 13, 283. Prime factorization of 47827 in exponential form is:

47827 = 13² × 283¹

Step-3: Factors of 47821

List of positive integer factors of 47821 that divides 47821 without a remainder.

1, 17, 29, 97, 493, 1649, 2813

Step-4: Factors of 47827

List of positive integer factors of 47827 that divides 47821 without a remainder.

1, 13, 169, 283, 3679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47821 and 47827. The biggest common factor number is the GCF number.
So the greatest common factor 47821 and 47827 is 1.

Also check out the Least Common Multiple of 47821 and 47827