What is the Greatest Common Factor of 46799 and 46812?

Greatest common factor (GCF) of 46799 and 46812 is 1.

GCF(46799,46812) = 1

We will now calculate the prime factors of 46799 and 46812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46799 and 46812.

How to find the GCF of 46799 and 46812?

We will first find the prime factorization of 46799 and 46812. After we will calculate the factors of 46799 and 46812 and find the biggest common factor number .

Step-1: Prime Factorization of 46799

Prime factors of 46799 are 53, 883. Prime factorization of 46799 in exponential form is:

46799 = 53¹ × 883¹

Step-2: Prime Factorization of 46812

Prime factors of 46812 are 2, 3, 47, 83. Prime factorization of 46812 in exponential form is:

46812 = 2² × 3¹ × 47¹ × 83¹

Step-3: Factors of 46799

List of positive integer factors of 46799 that divides 46799 without a remainder.

1, 53, 883

Step-4: Factors of 46812

List of positive integer factors of 46812 that divides 46799 without a remainder.

1, 2, 3, 4, 6, 12, 47, 83, 94, 141, 166, 188, 249, 282, 332, 498, 564, 996, 3901, 7802, 11703, 15604, 23406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46799 and 46812. The biggest common factor number is the GCF number.
So the greatest common factor 46799 and 46812 is 1.

Also check out the Least Common Multiple of 46799 and 46812