What is the Greatest Common Factor of 46893 and 46900?

Greatest common factor (GCF) of 46893 and 46900 is 7.

GCF(46893,46900) = 7

We will now calculate the prime factors of 46893 and 46900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46893 and 46900.

How to find the GCF of 46893 and 46900?

We will first find the prime factorization of 46893 and 46900. After we will calculate the factors of 46893 and 46900 and find the biggest common factor number .

Step-1: Prime Factorization of 46893

Prime factors of 46893 are 3, 7, 11, 29. Prime factorization of 46893 in exponential form is:

46893 = 3¹ × 7² × 11¹ × 29¹

Step-2: Prime Factorization of 46900

Prime factors of 46900 are 2, 5, 7, 67. Prime factorization of 46900 in exponential form is:

46900 = 2² × 5² × 7¹ × 67¹

Step-3: Factors of 46893

List of positive integer factors of 46893 that divides 46893 without a remainder.

1, 3, 7, 11, 21, 29, 33, 49, 77, 87, 147, 203, 231, 319, 539, 609, 957, 1421, 1617, 2233, 4263, 6699, 15631

Step-4: Factors of 46900

List of positive integer factors of 46900 that divides 46893 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 67, 70, 100, 134, 140, 175, 268, 335, 350, 469, 670, 700, 938, 1340, 1675, 1876, 2345, 3350, 4690, 6700, 9380, 11725, 23450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46893 and 46900. The biggest common factor number is the GCF number.
So the greatest common factor 46893 and 46900 is 7.

Also check out the Least Common Multiple of 46893 and 46900