What is the Greatest Common Factor of 46250 and 46265?

Greatest common factor (GCF) of 46250 and 46265 is 5.

GCF(46250,46265) = 5

We will now calculate the prime factors of 46250 and 46265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46250 and 46265.

How to find the GCF of 46250 and 46265?

We will first find the prime factorization of 46250 and 46265. After we will calculate the factors of 46250 and 46265 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 46265

Prime factors of 46265 are 5, 19, 487. Prime factorization of 46265 in exponential form is:

46265 = 5¹ × 19¹ × 487¹

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 46265

List of positive integer factors of 46265 that divides 46250 without a remainder.

1, 5, 19, 95, 487, 2435, 9253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46250 and 46265. The biggest common factor number is the GCF number.
So the greatest common factor 46250 and 46265 is 5.

Also check out the Least Common Multiple of 46250 and 46265