What is the Greatest Common Factor of 82264 and 82271?

Greatest common factor (GCF) of 82264 and 82271 is 7.

GCF(82264,82271) = 7

We will now calculate the prime factors of 82264 and 82271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82264 and 82271.

How to find the GCF of 82264 and 82271?

We will first find the prime factorization of 82264 and 82271. After we will calculate the factors of 82264 and 82271 and find the biggest common factor number .

Step-1: Prime Factorization of 82264

Prime factors of 82264 are 2, 7, 13, 113. Prime factorization of 82264 in exponential form is:

82264 = 2³ × 7¹ × 13¹ × 113¹

Step-2: Prime Factorization of 82271

Prime factors of 82271 are 7, 23, 73. Prime factorization of 82271 in exponential form is:

82271 = 7² × 23¹ × 73¹

Step-3: Factors of 82264

List of positive integer factors of 82264 that divides 82264 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 113, 182, 226, 364, 452, 728, 791, 904, 1469, 1582, 2938, 3164, 5876, 6328, 10283, 11752, 20566, 41132

Step-4: Factors of 82271

List of positive integer factors of 82271 that divides 82264 without a remainder.

1, 7, 23, 49, 73, 161, 511, 1127, 1679, 3577, 11753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82264 and 82271. The biggest common factor number is the GCF number.
So the greatest common factor 82264 and 82271 is 7.

Also check out the Least Common Multiple of 82264 and 82271