What is the Greatest Common Factor of 46248 and 46258?

Greatest common factor (GCF) of 46248 and 46258 is 2.

GCF(46248,46258) = 2

We will now calculate the prime factors of 46248 and 46258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46248 and 46258.

How to find the GCF of 46248 and 46258?

We will first find the prime factorization of 46248 and 46258. After we will calculate the factors of 46248 and 46258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46258

Prime factors of 46258 are 2, 101, 229. Prime factorization of 46258 in exponential form is:

46258 = 2¹ × 101¹ × 229¹

Step-3: Factors of 46248

List of positive integer factors of 46248 that divides 46248 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

Step-4: Factors of 46258

List of positive integer factors of 46258 that divides 46248 without a remainder.

1, 2, 101, 202, 229, 458, 23129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46248 and 46258. The biggest common factor number is the GCF number.
So the greatest common factor 46248 and 46258 is 2.

Also check out the Least Common Multiple of 46248 and 46258