What is the Greatest Common Factor of 88249 and 88264?

Greatest common factor (GCF) of 88249 and 88264 is 1.

GCF(88249,88264) = 1

We will now calculate the prime factors of 88249 and 88264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88249 and 88264.

How to find the GCF of 88249 and 88264?

We will first find the prime factorization of 88249 and 88264. After we will calculate the factors of 88249 and 88264 and find the biggest common factor number .

Step-1: Prime Factorization of 88249

Prime factors of 88249 are 7, 1801. Prime factorization of 88249 in exponential form is:

88249 = 7² × 1801¹

Step-2: Prime Factorization of 88264

Prime factors of 88264 are 2, 11, 17, 59. Prime factorization of 88264 in exponential form is:

88264 = 2³ × 11¹ × 17¹ × 59¹

Step-3: Factors of 88249

List of positive integer factors of 88249 that divides 88249 without a remainder.

1, 7, 49, 1801, 12607

Step-4: Factors of 88264

List of positive integer factors of 88264 that divides 88249 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 59, 68, 88, 118, 136, 187, 236, 374, 472, 649, 748, 1003, 1298, 1496, 2006, 2596, 4012, 5192, 8024, 11033, 22066, 44132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88249 and 88264. The biggest common factor number is the GCF number.
So the greatest common factor 88249 and 88264 is 1.

Also check out the Least Common Multiple of 88249 and 88264