GCF and LCM Calculator Logo

What is the Greatest Common Factor of 46248 and 46260?

Greatest common factor (GCF) of 46248 and 46260 is 12.

GCF(46248,46260) = 12

We will now calculate the prime factors of 46248 and 46260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46248 and 46260.

GCF Calculator and
and

How to find the GCF of 46248 and 46260?

We will first find the prime factorization of 46248 and 46260. After we will calculate the factors of 46248 and 46260 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 46260

Prime factors of 46260 are 2, 3, 5, 257. Prime factorization of 46260 in exponential form is:

46260 = 22 × 32 × 51 × 2571

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 46260

List of positive integer factors of 46260 that divides 46248 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 257, 514, 771, 1028, 1285, 1542, 2313, 2570, 3084, 3855, 4626, 5140, 7710, 9252, 11565, 15420, 23130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46248 and 46260. The biggest common factor number is the GCF number.
So the greatest common factor 46248 and 46260 is 12.

Also check out the Least Common Multiple of 46248 and 46260