What is the Greatest Common Factor of 46574 and 46578?

Greatest common factor (GCF) of 46574 and 46578 is 2.

GCF(46574,46578) = 2

We will now calculate the prime factors of 46574 and 46578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46574 and 46578.

How to find the GCF of 46574 and 46578?

We will first find the prime factorization of 46574 and 46578. After we will calculate the factors of 46574 and 46578 and find the biggest common factor number .

Step-1: Prime Factorization of 46574

Prime factors of 46574 are 2, 11, 29, 73. Prime factorization of 46574 in exponential form is:

46574 = 2¹ × 11¹ × 29¹ × 73¹

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 46574

List of positive integer factors of 46574 that divides 46574 without a remainder.

1, 2, 11, 22, 29, 58, 73, 146, 319, 638, 803, 1606, 2117, 4234, 23287

Step-4: Factors of 46578

List of positive integer factors of 46578 that divides 46574 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 46574 and 46578. The biggest common factor number is the GCF number.
So the greatest common factor 46574 and 46578 is 2.

Also check out the Least Common Multiple of 46574 and 46578