What is the Greatest Common Factor of 87256 and 87274?

Greatest common factor (GCF) of 87256 and 87274 is 2.

GCF(87256,87274) = 2

We will now calculate the prime factors of 87256 and 87274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87256 and 87274.

How to find the GCF of 87256 and 87274?

We will first find the prime factorization of 87256 and 87274. After we will calculate the factors of 87256 and 87274 and find the biggest common factor number .

Step-1: Prime Factorization of 87256

Prime factors of 87256 are 2, 13, 839. Prime factorization of 87256 in exponential form is:

87256 = 2³ × 13¹ × 839¹

Step-2: Prime Factorization of 87274

Prime factors of 87274 are 2, 11, 3967. Prime factorization of 87274 in exponential form is:

87274 = 2¹ × 11¹ × 3967¹

Step-3: Factors of 87256

List of positive integer factors of 87256 that divides 87256 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 839, 1678, 3356, 6712, 10907, 21814, 43628

Step-4: Factors of 87274

List of positive integer factors of 87274 that divides 87256 without a remainder.

1, 2, 11, 22, 3967, 7934, 43637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87256 and 87274. The biggest common factor number is the GCF number.
So the greatest common factor 87256 and 87274 is 2.

Also check out the Least Common Multiple of 87256 and 87274