What is the Greatest Common Factor of 46569 and 46578?

Greatest common factor (GCF) of 46569 and 46578 is 3.

GCF(46569,46578) = 3

We will now calculate the prime factors of 46569 and 46578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46569 and 46578.

How to find the GCF of 46569 and 46578?

We will first find the prime factorization of 46569 and 46578. After we will calculate the factors of 46569 and 46578 and find the biggest common factor number .

Step-1: Prime Factorization of 46569

Prime factors of 46569 are 3, 19, 43. Prime factorization of 46569 in exponential form is:

46569 = 3¹ × 19² × 43¹

Step-2: Prime Factorization of 46578

Prime factors of 46578 are 2, 3, 7, 1109. Prime factorization of 46578 in exponential form is:

46578 = 2¹ × 3¹ × 7¹ × 1109¹

Step-3: Factors of 46569

List of positive integer factors of 46569 that divides 46569 without a remainder.

1, 3, 19, 43, 57, 129, 361, 817, 1083, 2451, 15523

Step-4: Factors of 46578

List of positive integer factors of 46578 that divides 46569 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1109, 2218, 3327, 6654, 7763, 15526, 23289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46569 and 46578. The biggest common factor number is the GCF number.
So the greatest common factor 46569 and 46578 is 3.

Also check out the Least Common Multiple of 46569 and 46578