What is the Greatest Common Factor of 87262 and 87274?

Greatest common factor (GCF) of 87262 and 87274 is 2.

GCF(87262,87274) = 2

We will now calculate the prime factors of 87262 and 87274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87262 and 87274.

How to find the GCF of 87262 and 87274?

We will first find the prime factorization of 87262 and 87274. After we will calculate the factors of 87262 and 87274 and find the biggest common factor number .

Step-1: Prime Factorization of 87262

Prime factors of 87262 are 2, 7, 23, 271. Prime factorization of 87262 in exponential form is:

87262 = 2¹ × 7¹ × 23¹ × 271¹

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 87262

List of positive integer factors of 87262 that divides 87262 without a remainder.

1, 2, 7, 14, 23, 46, 161, 271, 322, 542, 1897, 3794, 6233, 12466, 43631

Step-4: Factors of 87274

List of positive integer factors of 87274 that divides 87262 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87262 and 87274. The biggest common factor number is the GCF number.
So the greatest common factor 87262 and 87274 is 2.

Also check out the Least Common Multiple of 87262 and 87274