What is the Greatest Common Factor of 81209 and 81224?

Greatest common factor (GCF) of 81209 and 81224 is 1.

GCF(81209,81224) = 1

We will now calculate the prime factors of 81209 and 81224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81209 and 81224.

How to find the GCF of 81209 and 81224?

We will first find the prime factorization of 81209 and 81224. After we will calculate the factors of 81209 and 81224 and find the biggest common factor number .

Step-1: Prime Factorization of 81209

Prime factors of 81209 are 17, 281. Prime factorization of 81209 in exponential form is:

81209 = 17² × 281¹

Step-2: Prime Factorization of 81224

Prime factors of 81224 are 2, 11, 13, 71. Prime factorization of 81224 in exponential form is:

81224 = 2³ × 11¹ × 13¹ × 71¹

Step-3: Factors of 81209

List of positive integer factors of 81209 that divides 81209 without a remainder.

1, 17, 281, 289, 4777

Step-4: Factors of 81224

List of positive integer factors of 81224 that divides 81209 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 71, 88, 104, 142, 143, 284, 286, 568, 572, 781, 923, 1144, 1562, 1846, 3124, 3692, 6248, 7384, 10153, 20306, 40612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81209 and 81224. The biggest common factor number is the GCF number.
So the greatest common factor 81209 and 81224 is 1.

Also check out the Least Common Multiple of 81209 and 81224