What is the Greatest Common Factor of 46230 and 46248?

Greatest common factor (GCF) of 46230 and 46248 is 6.

GCF(46230,46248) = 6

We will now calculate the prime factors of 46230 and 46248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46230 and 46248.

How to find the GCF of 46230 and 46248?

We will first find the prime factorization of 46230 and 46248. After we will calculate the factors of 46230 and 46248 and find the biggest common factor number .

Step-1: Prime Factorization of 46230

Prime factors of 46230 are 2, 3, 5, 23, 67. Prime factorization of 46230 in exponential form is:

46230 = 2¹ × 3¹ × 5¹ × 23¹ × 67¹

Step-2: Prime Factorization of 46248

Prime factors of 46248 are 2, 3, 41, 47. Prime factorization of 46248 in exponential form is:

46248 = 2³ × 3¹ × 41¹ × 47¹

Step-3: Factors of 46230

List of positive integer factors of 46230 that divides 46230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 67, 69, 115, 134, 138, 201, 230, 335, 345, 402, 670, 690, 1005, 1541, 2010, 3082, 4623, 7705, 9246, 15410, 23115

Step-4: Factors of 46248

List of positive integer factors of 46248 that divides 46230 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 47, 82, 94, 123, 141, 164, 188, 246, 282, 328, 376, 492, 564, 984, 1128, 1927, 3854, 5781, 7708, 11562, 15416, 23124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46230 and 46248. The biggest common factor number is the GCF number.
So the greatest common factor 46230 and 46248 is 6.

Also check out the Least Common Multiple of 46230 and 46248