What is the Greatest Common Factor of 87364 and 87374?

Greatest common factor (GCF) of 87364 and 87374 is 2.

GCF(87364,87374) = 2

We will now calculate the prime factors of 87364 and 87374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87364 and 87374.

How to find the GCF of 87364 and 87374?

We will first find the prime factorization of 87364 and 87374. After we will calculate the factors of 87364 and 87374 and find the biggest common factor number .

Step-1: Prime Factorization of 87364

Prime factors of 87364 are 2, 21841. Prime factorization of 87364 in exponential form is:

87364 = 2² × 21841¹

Step-2: 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-3: Factors of 87364

List of positive integer factors of 87364 that divides 87364 without a remainder.

1, 2, 4, 21841, 43682

Step-4: Factors of 87374

List of positive integer factors of 87374 that divides 87364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87364 and 87374. The biggest common factor number is the GCF number.
So the greatest common factor 87364 and 87374 is 2.

Also check out the Least Common Multiple of 87364 and 87374