What is the Greatest Common Factor of 33877 and 33884?

Greatest common factor (GCF) of 33877 and 33884 is 1.

GCF(33877,33884) = 1

We will now calculate the prime factors of 33877 and 33884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33877 and 33884.

How to find the GCF of 33877 and 33884?

We will first find the prime factorization of 33877 and 33884. After we will calculate the factors of 33877 and 33884 and find the biggest common factor number .

Step-1: Prime Factorization of 33877

Prime factors of 33877 are 19, 1783. Prime factorization of 33877 in exponential form is:

33877 = 19¹ × 1783¹

Step-2: Prime Factorization of 33884

Prime factors of 33884 are 2, 43, 197. Prime factorization of 33884 in exponential form is:

33884 = 2² × 43¹ × 197¹

Step-3: Factors of 33877

List of positive integer factors of 33877 that divides 33877 without a remainder.

1, 19, 1783

Step-4: Factors of 33884

List of positive integer factors of 33884 that divides 33877 without a remainder.

1, 2, 4, 43, 86, 172, 197, 394, 788, 8471, 16942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33877 and 33884. The biggest common factor number is the GCF number.
So the greatest common factor 33877 and 33884 is 1.

Also check out the Least Common Multiple of 33877 and 33884