What is the Greatest Common Factor of 46578 and 46592?

Greatest common factor (GCF) of 46578 and 46592 is 14.

GCF(46578,46592) = 14

We will now calculate the prime factors of 46578 and 46592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46578 and 46592.

How to find the GCF of 46578 and 46592?

We will first find the prime factorization of 46578 and 46592. After we will calculate the factors of 46578 and 46592 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46592

Prime factors of 46592 are 2, 7, 13. Prime factorization of 46592 in exponential form is:

46592 = 2⁹ × 7¹ × 13¹

Step-3: Factors of 46578

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

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

Step-4: Factors of 46592

List of positive integer factors of 46592 that divides 46578 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 128, 182, 208, 224, 256, 364, 416, 448, 512, 728, 832, 896, 1456, 1664, 1792, 2912, 3328, 3584, 5824, 6656, 11648, 23296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46578 and 46592. The biggest common factor number is the GCF number.
So the greatest common factor 46578 and 46592 is 14.

Also check out the Least Common Multiple of 46578 and 46592