What is the Greatest Common Factor of 46500 and 46510?

Greatest common factor (GCF) of 46500 and 46510 is 10.

GCF(46500,46510) = 10

We will now calculate the prime factors of 46500 and 46510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46500 and 46510.

How to find the GCF of 46500 and 46510?

We will first find the prime factorization of 46500 and 46510. After we will calculate the factors of 46500 and 46510 and find the biggest common factor number .

Step-1: Prime Factorization of 46500

Prime factors of 46500 are 2, 3, 5, 31. Prime factorization of 46500 in exponential form is:

46500 = 2² × 3¹ × 5³ × 31¹

Step-2: Prime Factorization of 46510

Prime factors of 46510 are 2, 5, 4651. Prime factorization of 46510 in exponential form is:

46510 = 2¹ × 5¹ × 4651¹

Step-3: Factors of 46500

List of positive integer factors of 46500 that divides 46500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 125, 150, 155, 186, 250, 300, 310, 372, 375, 465, 500, 620, 750, 775, 930, 1500, 1550, 1860, 2325, 3100, 3875, 4650, 7750, 9300, 11625, 15500, 23250

Step-4: Factors of 46510

List of positive integer factors of 46510 that divides 46500 without a remainder.

1, 2, 5, 10, 4651, 9302, 23255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46500 and 46510. The biggest common factor number is the GCF number.
So the greatest common factor 46500 and 46510 is 10.

Also check out the Least Common Multiple of 46500 and 46510