What is the Greatest Common Factor of 47005 and 47021?

Greatest common factor (GCF) of 47005 and 47021 is 1.

GCF(47005,47021) = 1

We will now calculate the prime factors of 47005 and 47021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47005 and 47021.

How to find the GCF of 47005 and 47021?

We will first find the prime factorization of 47005 and 47021. After we will calculate the factors of 47005 and 47021 and find the biggest common factor number .

Step-1: Prime Factorization of 47005

Prime factors of 47005 are 5, 7, 17, 79. Prime factorization of 47005 in exponential form is:

47005 = 5¹ × 7¹ × 17¹ × 79¹

Step-2: Prime Factorization of 47021

Prime factors of 47021 are 13, 3617. Prime factorization of 47021 in exponential form is:

47021 = 13¹ × 3617¹

Step-3: Factors of 47005

List of positive integer factors of 47005 that divides 47005 without a remainder.

1, 5, 7, 17, 35, 79, 85, 119, 395, 553, 595, 1343, 2765, 6715, 9401

Step-4: Factors of 47021

List of positive integer factors of 47021 that divides 47005 without a remainder.

1, 13, 3617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47005 and 47021. The biggest common factor number is the GCF number.
So the greatest common factor 47005 and 47021 is 1.

Also check out the Least Common Multiple of 47005 and 47021