What is the Greatest Common Factor of 46280 and 46300?

Greatest common factor (GCF) of 46280 and 46300 is 20.

GCF(46280,46300) = 20

We will now calculate the prime factors of 46280 and 46300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46280 and 46300.

How to find the GCF of 46280 and 46300?

We will first find the prime factorization of 46280 and 46300. After we will calculate the factors of 46280 and 46300 and find the biggest common factor number .

Step-1: Prime Factorization of 46280

Prime factors of 46280 are 2, 5, 13, 89. Prime factorization of 46280 in exponential form is:

46280 = 2³ × 5¹ × 13¹ × 89¹

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 46280

List of positive integer factors of 46280 that divides 46280 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 89, 104, 130, 178, 260, 356, 445, 520, 712, 890, 1157, 1780, 2314, 3560, 4628, 5785, 9256, 11570, 23140

Step-4: Factors of 46300

List of positive integer factors of 46300 that divides 46280 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 46280 and 46300. The biggest common factor number is the GCF number.
So the greatest common factor 46280 and 46300 is 20.

Also check out the Least Common Multiple of 46280 and 46300