What is the Greatest Common Factor of 87276 and 87283?

Greatest common factor (GCF) of 87276 and 87283 is 7.

GCF(87276,87283) = 7

We will now calculate the prime factors of 87276 and 87283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87276 and 87283.

How to find the GCF of 87276 and 87283?

We will first find the prime factorization of 87276 and 87283. After we will calculate the factors of 87276 and 87283 and find the biggest common factor number .

Step-1: Prime Factorization of 87276

Prime factors of 87276 are 2, 3, 7, 1039. Prime factorization of 87276 in exponential form is:

87276 = 2² × 3¹ × 7¹ × 1039¹

Step-2: Prime Factorization of 87283

Prime factors of 87283 are 7, 37, 337. Prime factorization of 87283 in exponential form is:

87283 = 7¹ × 37¹ × 337¹

Step-3: Factors of 87276

List of positive integer factors of 87276 that divides 87276 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1039, 2078, 3117, 4156, 6234, 7273, 12468, 14546, 21819, 29092, 43638

Step-4: Factors of 87283

List of positive integer factors of 87283 that divides 87276 without a remainder.

1, 7, 37, 259, 337, 2359, 12469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87276 and 87283. The biggest common factor number is the GCF number.
So the greatest common factor 87276 and 87283 is 7.

Also check out the Least Common Multiple of 87276 and 87283