What is the Greatest Common Factor of 82109 and 82124?

Greatest common factor (GCF) of 82109 and 82124 is 1.

GCF(82109,82124) = 1

We will now calculate the prime factors of 82109 and 82124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82109 and 82124.

How to find the GCF of 82109 and 82124?

We will first find the prime factorization of 82109 and 82124. After we will calculate the factors of 82109 and 82124 and find the biggest common factor number .

Step-1: Prime Factorization of 82109

Prime factors of 82109 are 47, 1747. Prime factorization of 82109 in exponential form is:

82109 = 47¹ × 1747¹

Step-2: Prime Factorization of 82124

Prime factors of 82124 are 2, 7, 419. Prime factorization of 82124 in exponential form is:

82124 = 2² × 7² × 419¹

Step-3: Factors of 82109

List of positive integer factors of 82109 that divides 82109 without a remainder.

1, 47, 1747

Step-4: Factors of 82124

List of positive integer factors of 82124 that divides 82109 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 419, 838, 1676, 2933, 5866, 11732, 20531, 41062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82109 and 82124. The biggest common factor number is the GCF number.
So the greatest common factor 82109 and 82124 is 1.

Also check out the Least Common Multiple of 82109 and 82124