What is the Greatest Common Factor of 47069 and 47074?

Greatest common factor (GCF) of 47069 and 47074 is 1.

GCF(47069,47074) = 1

We will now calculate the prime factors of 47069 and 47074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47069 and 47074.

How to find the GCF of 47069 and 47074?

We will first find the prime factorization of 47069 and 47074. After we will calculate the factors of 47069 and 47074 and find the biggest common factor number .

Step-1: Prime Factorization of 47069

Prime factors of 47069 are 11, 389. Prime factorization of 47069 in exponential form is:

47069 = 11² × 389¹

Step-2: Prime Factorization of 47074

Prime factors of 47074 are 2, 23537. Prime factorization of 47074 in exponential form is:

47074 = 2¹ × 23537¹

Step-3: Factors of 47069

List of positive integer factors of 47069 that divides 47069 without a remainder.

1, 11, 121, 389, 4279

Step-4: Factors of 47074

List of positive integer factors of 47074 that divides 47069 without a remainder.

1, 2, 23537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47069 and 47074. The biggest common factor number is the GCF number.
So the greatest common factor 47069 and 47074 is 1.

Also check out the Least Common Multiple of 47069 and 47074