What is the Greatest Common Factor of 46246 and 46260?

Greatest common factor (GCF) of 46246 and 46260 is 2.

GCF(46246,46260) = 2

We will now calculate the prime factors of 46246 and 46260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46246 and 46260.

How to find the GCF of 46246 and 46260?

We will first find the prime factorization of 46246 and 46260. After we will calculate the factors of 46246 and 46260 and find the biggest common factor number .

Step-1: Prime Factorization of 46246

Prime factors of 46246 are 2, 19, 1217. Prime factorization of 46246 in exponential form is:

46246 = 2¹ × 19¹ × 1217¹

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 46246

List of positive integer factors of 46246 that divides 46246 without a remainder.

1, 2, 19, 38, 1217, 2434, 23123

Step-4: Factors of 46260

List of positive integer factors of 46260 that divides 46246 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 46246 and 46260. The biggest common factor number is the GCF number.
So the greatest common factor 46246 and 46260 is 2.

Also check out the Least Common Multiple of 46246 and 46260