What is the Greatest Common Factor of 87374 and 87393?

Greatest common factor (GCF) of 87374 and 87393 is 1.

GCF(87374,87393) = 1

We will now calculate the prime factors of 87374 and 87393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87374 and 87393.

How to find the GCF of 87374 and 87393?

We will first find the prime factorization of 87374 and 87393. After we will calculate the factors of 87374 and 87393 and find the biggest common factor number .

Step-1: Prime Factorization of 87374

Prime factors of 87374 are 2, 7, 79. Prime factorization of 87374 in exponential form is:

87374 = 2¹ × 7¹ × 79²

Step-2: Prime Factorization of 87393

Prime factors of 87393 are 3, 29131. Prime factorization of 87393 in exponential form is:

87393 = 3¹ × 29131¹

Step-3: Factors of 87374

List of positive integer factors of 87374 that divides 87374 without a remainder.

1, 2, 7, 14, 79, 158, 553, 1106, 6241, 12482, 43687

Step-4: Factors of 87393

List of positive integer factors of 87393 that divides 87374 without a remainder.

1, 3, 29131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87374 and 87393. The biggest common factor number is the GCF number.
So the greatest common factor 87374 and 87393 is 1.

Also check out the Least Common Multiple of 87374 and 87393