What is the Greatest Common Factor of 92407 and 92421?

Greatest common factor (GCF) of 92407 and 92421 is 7.

GCF(92407,92421) = 7

We will now calculate the prime factors of 92407 and 92421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92407 and 92421.

How to find the GCF of 92407 and 92421?

We will first find the prime factorization of 92407 and 92421. After we will calculate the factors of 92407 and 92421 and find the biggest common factor number .

Step-1: Prime Factorization of 92407

Prime factors of 92407 are 7, 43, 307. Prime factorization of 92407 in exponential form is:

92407 = 7¹ × 43¹ × 307¹

Step-2: Prime Factorization of 92421

Prime factors of 92421 are 3, 7, 163. Prime factorization of 92421 in exponential form is:

92421 = 3⁴ × 7¹ × 163¹

Step-3: Factors of 92407

List of positive integer factors of 92407 that divides 92407 without a remainder.

1, 7, 43, 301, 307, 2149, 13201

Step-4: Factors of 92421

List of positive integer factors of 92421 that divides 92407 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 163, 189, 489, 567, 1141, 1467, 3423, 4401, 10269, 13203, 30807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92407 and 92421. The biggest common factor number is the GCF number.
So the greatest common factor 92407 and 92421 is 7.

Also check out the Least Common Multiple of 92407 and 92421