What is the Greatest Common Factor of 46876 and 46892?

Greatest common factor (GCF) of 46876 and 46892 is 4.

GCF(46876,46892) = 4

We will now calculate the prime factors of 46876 and 46892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46876 and 46892.

How to find the GCF of 46876 and 46892?

We will first find the prime factorization of 46876 and 46892. After we will calculate the factors of 46876 and 46892 and find the biggest common factor number .

Step-1: Prime Factorization of 46876

Prime factors of 46876 are 2, 11719. Prime factorization of 46876 in exponential form is:

46876 = 2² × 11719¹

Step-2: Prime Factorization of 46892

Prime factors of 46892 are 2, 19, 617. Prime factorization of 46892 in exponential form is:

46892 = 2² × 19¹ × 617¹

Step-3: Factors of 46876

List of positive integer factors of 46876 that divides 46876 without a remainder.

1, 2, 4, 11719, 23438

Step-4: Factors of 46892

List of positive integer factors of 46892 that divides 46876 without a remainder.

1, 2, 4, 19, 38, 76, 617, 1234, 2468, 11723, 23446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46876 and 46892. The biggest common factor number is the GCF number.
So the greatest common factor 46876 and 46892 is 4.

Also check out the Least Common Multiple of 46876 and 46892