What is the Greatest Common Factor of 46600 and 46614?

Greatest common factor (GCF) of 46600 and 46614 is 2.

GCF(46600,46614) = 2

We will now calculate the prime factors of 46600 and 46614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46600 and 46614.

How to find the GCF of 46600 and 46614?

We will first find the prime factorization of 46600 and 46614. After we will calculate the factors of 46600 and 46614 and find the biggest common factor number .

Step-1: Prime Factorization of 46600

Prime factors of 46600 are 2, 5, 233. Prime factorization of 46600 in exponential form is:

46600 = 2³ × 5² × 233¹

Step-2: Prime Factorization of 46614

Prime factors of 46614 are 2, 3, 17, 457. Prime factorization of 46614 in exponential form is:

46614 = 2¹ × 3¹ × 17¹ × 457¹

Step-3: Factors of 46600

List of positive integer factors of 46600 that divides 46600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 233, 466, 932, 1165, 1864, 2330, 4660, 5825, 9320, 11650, 23300

Step-4: Factors of 46614

List of positive integer factors of 46614 that divides 46600 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 457, 914, 1371, 2742, 7769, 15538, 23307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46600 and 46614. The biggest common factor number is the GCF number.
So the greatest common factor 46600 and 46614 is 2.

Also check out the Least Common Multiple of 46600 and 46614