What is the Greatest Common Factor of 47633 and 47645?

Greatest common factor (GCF) of 47633 and 47645 is 1.

GCF(47633,47645) = 1

We will now calculate the prime factors of 47633 and 47645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47633 and 47645.

How to find the GCF of 47633 and 47645?

We will first find the prime factorization of 47633 and 47645. After we will calculate the factors of 47633 and 47645 and find the biggest common factor number .

Step-1: Prime Factorization of 47633

Prime factors of 47633 are 19, 23, 109. Prime factorization of 47633 in exponential form is:

47633 = 19¹ × 23¹ × 109¹

Step-2: Prime Factorization of 47645

Prime factors of 47645 are 5, 13, 733. Prime factorization of 47645 in exponential form is:

47645 = 5¹ × 13¹ × 733¹

Step-3: Factors of 47633

List of positive integer factors of 47633 that divides 47633 without a remainder.

1, 19, 23, 109, 437, 2071, 2507

Step-4: Factors of 47645

List of positive integer factors of 47645 that divides 47633 without a remainder.

1, 5, 13, 65, 733, 3665, 9529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47633 and 47645. The biggest common factor number is the GCF number.
So the greatest common factor 47633 and 47645 is 1.

Also check out the Least Common Multiple of 47633 and 47645