What is the Greatest Common Factor of 46250 and 46260?

Greatest common factor (GCF) of 46250 and 46260 is 10.

GCF(46250,46260) = 10

We will now calculate the prime factors of 46250 and 46260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46250 and 46260.

How to find the GCF of 46250 and 46260?

We will first find the prime factorization of 46250 and 46260. After we will calculate the factors of 46250 and 46260 and find the biggest common factor number .

Step-1: Prime Factorization of 46250

Prime factors of 46250 are 2, 5, 37. Prime factorization of 46250 in exponential form is:

46250 = 2¹ × 5⁴ × 37¹

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 46250

List of positive integer factors of 46250 that divides 46250 without a remainder.

1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 625, 925, 1250, 1850, 4625, 9250, 23125

Step-4: Factors of 46260

List of positive integer factors of 46260 that divides 46250 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 46250 and 46260. The biggest common factor number is the GCF number.
So the greatest common factor 46250 and 46260 is 10.

Also check out the Least Common Multiple of 46250 and 46260