What is the Greatest Common Factor of 46292 and 46300?

Greatest common factor (GCF) of 46292 and 46300 is 4.

GCF(46292,46300) = 4

We will now calculate the prime factors of 46292 and 46300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46292 and 46300.

How to find the GCF of 46292 and 46300?

We will first find the prime factorization of 46292 and 46300. After we will calculate the factors of 46292 and 46300 and find the biggest common factor number .

Step-1: Prime Factorization of 46292

Prime factors of 46292 are 2, 71, 163. Prime factorization of 46292 in exponential form is:

46292 = 2² × 71¹ × 163¹

Step-2: Prime Factorization of 46300

Prime factors of 46300 are 2, 5, 463. Prime factorization of 46300 in exponential form is:

46300 = 2² × 5² × 463¹

Step-3: Factors of 46292

List of positive integer factors of 46292 that divides 46292 without a remainder.

1, 2, 4, 71, 142, 163, 284, 326, 652, 11573, 23146

Step-4: Factors of 46300

List of positive integer factors of 46300 that divides 46292 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 463, 926, 1852, 2315, 4630, 9260, 11575, 23150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46292 and 46300. The biggest common factor number is the GCF number.
So the greatest common factor 46292 and 46300 is 4.

Also check out the Least Common Multiple of 46292 and 46300