What is the Greatest Common Factor of 92415 and 92420?

Greatest common factor (GCF) of 92415 and 92420 is 5.

GCF(92415,92420) = 5

We will now calculate the prime factors of 92415 and 92420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92415 and 92420.

How to find the GCF of 92415 and 92420?

We will first find the prime factorization of 92415 and 92420. After we will calculate the factors of 92415 and 92420 and find the biggest common factor number .

Step-1: Prime Factorization of 92415

Prime factors of 92415 are 3, 5, 61, 101. Prime factorization of 92415 in exponential form is:

92415 = 3¹ × 5¹ × 61¹ × 101¹

Step-2: Prime Factorization of 92420

Prime factors of 92420 are 2, 5, 4621. Prime factorization of 92420 in exponential form is:

92420 = 2² × 5¹ × 4621¹

Step-3: Factors of 92415

List of positive integer factors of 92415 that divides 92415 without a remainder.

1, 3, 5, 15, 61, 101, 183, 303, 305, 505, 915, 1515, 6161, 18483, 30805

Step-4: Factors of 92420

List of positive integer factors of 92420 that divides 92415 without a remainder.

1, 2, 4, 5, 10, 20, 4621, 9242, 18484, 23105, 46210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92415 and 92420. The biggest common factor number is the GCF number.
So the greatest common factor 92415 and 92420 is 5.

Also check out the Least Common Multiple of 92415 and 92420