What is the Greatest Common Factor of 87333 and 87344?

Greatest common factor (GCF) of 87333 and 87344 is 1.

GCF(87333,87344) = 1

We will now calculate the prime factors of 87333 and 87344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87333 and 87344.

How to find the GCF of 87333 and 87344?

We will first find the prime factorization of 87333 and 87344. After we will calculate the factors of 87333 and 87344 and find the biggest common factor number .

Step-1: Prime Factorization of 87333

Prime factors of 87333 are 3, 43, 677. Prime factorization of 87333 in exponential form is:

87333 = 3¹ × 43¹ × 677¹

Step-2: Prime Factorization of 87344

Prime factors of 87344 are 2, 53, 103. Prime factorization of 87344 in exponential form is:

87344 = 2⁴ × 53¹ × 103¹

Step-3: Factors of 87333

List of positive integer factors of 87333 that divides 87333 without a remainder.

1, 3, 43, 129, 677, 2031, 29111

Step-4: Factors of 87344

List of positive integer factors of 87344 that divides 87333 without a remainder.

1, 2, 4, 8, 16, 53, 103, 106, 206, 212, 412, 424, 824, 848, 1648, 5459, 10918, 21836, 43672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87333 and 87344. The biggest common factor number is the GCF number.
So the greatest common factor 87333 and 87344 is 1.

Also check out the Least Common Multiple of 87333 and 87344