What is the Greatest Common Factor of 46290 and 46300?

Greatest common factor (GCF) of 46290 and 46300 is 10.

GCF(46290,46300) = 10

We will now calculate the prime factors of 46290 and 46300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46290 and 46300.

How to find the GCF of 46290 and 46300?

We will first find the prime factorization of 46290 and 46300. After we will calculate the factors of 46290 and 46300 and find the biggest common factor number .

Step-1: Prime Factorization of 46290

Prime factors of 46290 are 2, 3, 5, 1543. Prime factorization of 46290 in exponential form is:

46290 = 2¹ × 3¹ × 5¹ × 1543¹

Step-2: Prime Factorization of 46300

Prime factors of 46300 are 2, 5, 463. Prime factorization of 46300 in exponential form is:

46300 = 2² × 5² × 463¹

Step-3: Factors of 46290

List of positive integer factors of 46290 that divides 46290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1543, 3086, 4629, 7715, 9258, 15430, 23145

Step-4: Factors of 46300

List of positive integer factors of 46300 that divides 46290 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 463, 926, 1852, 2315, 4630, 9260, 11575, 23150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46290 and 46300. The biggest common factor number is the GCF number.
So the greatest common factor 46290 and 46300 is 10.

Also check out the Least Common Multiple of 46290 and 46300