What is the Greatest Common Factor of 46905 and 46924?

Greatest common factor (GCF) of 46905 and 46924 is 1.

GCF(46905,46924) = 1

We will now calculate the prime factors of 46905 and 46924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46905 and 46924.

How to find the GCF of 46905 and 46924?

We will first find the prime factorization of 46905 and 46924. After we will calculate the factors of 46905 and 46924 and find the biggest common factor number .

Step-1: Prime Factorization of 46905

Prime factors of 46905 are 3, 5, 53, 59. Prime factorization of 46905 in exponential form is:

46905 = 3¹ × 5¹ × 53¹ × 59¹

Step-2: Prime Factorization of 46924

Prime factors of 46924 are 2, 11731. Prime factorization of 46924 in exponential form is:

46924 = 2² × 11731¹

Step-3: Factors of 46905

List of positive integer factors of 46905 that divides 46905 without a remainder.

1, 3, 5, 15, 53, 59, 159, 177, 265, 295, 795, 885, 3127, 9381, 15635

Step-4: Factors of 46924

List of positive integer factors of 46924 that divides 46905 without a remainder.

1, 2, 4, 11731, 23462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46905 and 46924. The biggest common factor number is the GCF number.
So the greatest common factor 46905 and 46924 is 1.

Also check out the Least Common Multiple of 46905 and 46924