What is the Greatest Common Factor of 87269 and 87283?

Greatest common factor (GCF) of 87269 and 87283 is 7.

GCF(87269,87283) = 7

We will now calculate the prime factors of 87269 and 87283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87269 and 87283.

How to find the GCF of 87269 and 87283?

We will first find the prime factorization of 87269 and 87283. After we will calculate the factors of 87269 and 87283 and find the biggest common factor number .

Step-1: Prime Factorization of 87269

Prime factors of 87269 are 7, 13, 137. Prime factorization of 87269 in exponential form is:

87269 = 7² × 13¹ × 137¹

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 87269

List of positive integer factors of 87269 that divides 87269 without a remainder.

1, 7, 13, 49, 91, 137, 637, 959, 1781, 6713, 12467

Step-4: Factors of 87283

List of positive integer factors of 87283 that divides 87269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87269 and 87283. The biggest common factor number is the GCF number.
So the greatest common factor 87269 and 87283 is 7.

Also check out the Least Common Multiple of 87269 and 87283