What is the Greatest Common Factor of 87332 and 87344?

Greatest common factor (GCF) of 87332 and 87344 is 4.

GCF(87332,87344) = 4

We will now calculate the prime factors of 87332 and 87344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87332 and 87344.

How to find the GCF of 87332 and 87344?

We will first find the prime factorization of 87332 and 87344. After we will calculate the factors of 87332 and 87344 and find the biggest common factor number .

Step-1: Prime Factorization of 87332

Prime factors of 87332 are 2, 7, 3119. Prime factorization of 87332 in exponential form is:

87332 = 2² × 7¹ × 3119¹

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 87332

List of positive integer factors of 87332 that divides 87332 without a remainder.

1, 2, 4, 7, 14, 28, 3119, 6238, 12476, 21833, 43666

Step-4: Factors of 87344

List of positive integer factors of 87344 that divides 87332 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 87332 and 87344. The biggest common factor number is the GCF number.
So the greatest common factor 87332 and 87344 is 4.

Also check out the Least Common Multiple of 87332 and 87344