What is the Greatest Common Factor of 46284 and 46291?

Greatest common factor (GCF) of 46284 and 46291 is 7.

GCF(46284,46291) = 7

We will now calculate the prime factors of 46284 and 46291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46284 and 46291.

How to find the GCF of 46284 and 46291?

We will first find the prime factorization of 46284 and 46291. After we will calculate the factors of 46284 and 46291 and find the biggest common factor number .

Step-1: Prime Factorization of 46284

Prime factors of 46284 are 2, 3, 7, 19, 29. Prime factorization of 46284 in exponential form is:

46284 = 2² × 3¹ × 7¹ × 19¹ × 29¹

Step-2: Prime Factorization of 46291

Prime factors of 46291 are 7, 17, 389. Prime factorization of 46291 in exponential form is:

46291 = 7¹ × 17¹ × 389¹

Step-3: Factors of 46284

List of positive integer factors of 46284 that divides 46284 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 29, 38, 42, 57, 58, 76, 84, 87, 114, 116, 133, 174, 203, 228, 266, 348, 399, 406, 532, 551, 609, 798, 812, 1102, 1218, 1596, 1653, 2204, 2436, 3306, 3857, 6612, 7714, 11571, 15428, 23142

Step-4: Factors of 46291

List of positive integer factors of 46291 that divides 46284 without a remainder.

1, 7, 17, 119, 389, 2723, 6613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46284 and 46291. The biggest common factor number is the GCF number.
So the greatest common factor 46284 and 46291 is 7.

Also check out the Least Common Multiple of 46284 and 46291