What is the Greatest Common Factor of 92049 and 92067?

Greatest common factor (GCF) of 92049 and 92067 is 3.

GCF(92049,92067) = 3

We will now calculate the prime factors of 92049 and 92067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92049 and 92067.

How to find the GCF of 92049 and 92067?

We will first find the prime factorization of 92049 and 92067. After we will calculate the factors of 92049 and 92067 and find the biggest common factor number .

Step-1: Prime Factorization of 92049

Prime factors of 92049 are 3, 61, 503. Prime factorization of 92049 in exponential form is:

92049 = 3¹ × 61¹ × 503¹

Step-2: Prime Factorization of 92067

Prime factors of 92067 are 3, 30689. Prime factorization of 92067 in exponential form is:

92067 = 3¹ × 30689¹

Step-3: Factors of 92049

List of positive integer factors of 92049 that divides 92049 without a remainder.

1, 3, 61, 183, 503, 1509, 30683

Step-4: Factors of 92067

List of positive integer factors of 92067 that divides 92049 without a remainder.

1, 3, 30689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92049 and 92067. The biggest common factor number is the GCF number.
So the greatest common factor 92049 and 92067 is 3.

Also check out the Least Common Multiple of 92049 and 92067