What is the Greatest Common Factor of 87348 and 87361?

Greatest common factor (GCF) of 87348 and 87361 is 1.

GCF(87348,87361) = 1

We will now calculate the prime factors of 87348 and 87361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87348 and 87361.

How to find the GCF of 87348 and 87361?

We will first find the prime factorization of 87348 and 87361. After we will calculate the factors of 87348 and 87361 and find the biggest common factor number .

Step-1: Prime Factorization of 87348

Prime factors of 87348 are 2, 3, 29, 251. Prime factorization of 87348 in exponential form is:

87348 = 2² × 3¹ × 29¹ × 251¹

Step-2: Prime Factorization of 87361

Prime factors of 87361 are 199, 439. Prime factorization of 87361 in exponential form is:

87361 = 199¹ × 439¹

Step-3: Factors of 87348

List of positive integer factors of 87348 that divides 87348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 251, 348, 502, 753, 1004, 1506, 3012, 7279, 14558, 21837, 29116, 43674

Step-4: Factors of 87361

List of positive integer factors of 87361 that divides 87348 without a remainder.

1, 199, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87348 and 87361. The biggest common factor number is the GCF number.
So the greatest common factor 87348 and 87361 is 1.

Also check out the Least Common Multiple of 87348 and 87361