What is the Greatest Common Factor of 46230 and 46250?

Greatest common factor (GCF) of 46230 and 46250 is 10.

GCF(46230,46250) = 10

We will now calculate the prime factors of 46230 and 46250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46230 and 46250.

How to find the GCF of 46230 and 46250?

We will first find the prime factorization of 46230 and 46250. After we will calculate the factors of 46230 and 46250 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 46250

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

46250 = 2¹ × 5⁴ × 37¹

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 46250

List of positive integer factors of 46250 that divides 46230 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46230 and 46250. The biggest common factor number is the GCF number.
So the greatest common factor 46230 and 46250 is 10.

Also check out the Least Common Multiple of 46230 and 46250