What is the Greatest Common Factor of 46900 and 46909?

Greatest common factor (GCF) of 46900 and 46909 is 1.

GCF(46900,46909) = 1

We will now calculate the prime factors of 46900 and 46909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46900 and 46909.

How to find the GCF of 46900 and 46909?

We will first find the prime factorization of 46900 and 46909. After we will calculate the factors of 46900 and 46909 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 46909

Prime factors of 46909 are 61, 769. Prime factorization of 46909 in exponential form is:

46909 = 61¹ × 769¹

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 46909

List of positive integer factors of 46909 that divides 46900 without a remainder.

1, 61, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46900 and 46909. The biggest common factor number is the GCF number.
So the greatest common factor 46900 and 46909 is 1.

Also check out the Least Common Multiple of 46900 and 46909