What is the Greatest Common Factor of 33922 and 33931?

Greatest common factor (GCF) of 33922 and 33931 is 1.

GCF(33922,33931) = 1

We will now calculate the prime factors of 33922 and 33931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33922 and 33931.

How to find the GCF of 33922 and 33931?

We will first find the prime factorization of 33922 and 33931. After we will calculate the factors of 33922 and 33931 and find the biggest common factor number .

Step-1: Prime Factorization of 33922

Prime factors of 33922 are 2, 7, 2423. Prime factorization of 33922 in exponential form is:

33922 = 2¹ × 7¹ × 2423¹

Step-2: Prime Factorization of 33931

Prime factors of 33931 are 33931. Prime factorization of 33931 in exponential form is:

33931 = 33931¹

Step-3: Factors of 33922

List of positive integer factors of 33922 that divides 33922 without a remainder.

1, 2, 7, 14, 2423, 4846, 16961

Step-4: Factors of 33931

List of positive integer factors of 33931 that divides 33922 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33922 and 33931. The biggest common factor number is the GCF number.
So the greatest common factor 33922 and 33931 is 1.

Also check out the Least Common Multiple of 33922 and 33931