What is the Greatest Common Factor of 47035 and 47045?

Greatest common factor (GCF) of 47035 and 47045 is 5.

GCF(47035,47045) = 5

We will now calculate the prime factors of 47035 and 47045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47035 and 47045.

How to find the GCF of 47035 and 47045?

We will first find the prime factorization of 47035 and 47045. After we will calculate the factors of 47035 and 47045 and find the biggest common factor number .

Step-1: Prime Factorization of 47035

Prime factors of 47035 are 5, 23, 409. Prime factorization of 47035 in exponential form is:

47035 = 5¹ × 23¹ × 409¹

Step-2: Prime Factorization of 47045

Prime factors of 47045 are 5, 97. Prime factorization of 47045 in exponential form is:

47045 = 5¹ × 97²

Step-3: Factors of 47035

List of positive integer factors of 47035 that divides 47035 without a remainder.

1, 5, 23, 115, 409, 2045, 9407

Step-4: Factors of 47045

List of positive integer factors of 47045 that divides 47035 without a remainder.

1, 5, 97, 485, 9409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47035 and 47045. The biggest common factor number is the GCF number.
So the greatest common factor 47035 and 47045 is 5.

Also check out the Least Common Multiple of 47035 and 47045