What is the Greatest Common Factor of 46900 and 46919?

Greatest common factor (GCF) of 46900 and 46919 is 1.

GCF(46900,46919) = 1

We will now calculate the prime factors of 46900 and 46919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46900 and 46919.

How to find the GCF of 46900 and 46919?

We will first find the prime factorization of 46900 and 46919. After we will calculate the factors of 46900 and 46919 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46919

Prime factors of 46919 are 46919. Prime factorization of 46919 in exponential form is:

46919 = 46919¹

Step-3: Factors of 46900

List of positive integer factors of 46900 that divides 46900 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

Step-4: Factors of 46919

List of positive integer factors of 46919 that divides 46900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46900 and 46919. The biggest common factor number is the GCF number.
So the greatest common factor 46900 and 46919 is 1.

Also check out the Least Common Multiple of 46900 and 46919