What is the Greatest Common Factor of 92022 and 92029?

Greatest common factor (GCF) of 92022 and 92029 is 7.

GCF(92022,92029) = 7

We will now calculate the prime factors of 92022 and 92029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92022 and 92029.

How to find the GCF of 92022 and 92029?

We will first find the prime factorization of 92022 and 92029. After we will calculate the factors of 92022 and 92029 and find the biggest common factor number .

Step-1: Prime Factorization of 92022

Prime factors of 92022 are 2, 3, 7, 313. Prime factorization of 92022 in exponential form is:

92022 = 2¹ × 3¹ × 7² × 313¹

Step-2: Prime Factorization of 92029

Prime factors of 92029 are 7, 13147. Prime factorization of 92029 in exponential form is:

92029 = 7¹ × 13147¹

Step-3: Factors of 92022

List of positive integer factors of 92022 that divides 92022 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 313, 626, 939, 1878, 2191, 4382, 6573, 13146, 15337, 30674, 46011

Step-4: Factors of 92029

List of positive integer factors of 92029 that divides 92022 without a remainder.

1, 7, 13147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92022 and 92029. The biggest common factor number is the GCF number.
So the greatest common factor 92022 and 92029 is 7.

Also check out the Least Common Multiple of 92022 and 92029