What is the Greatest Common Factor of 82474 and 82489?

Greatest common factor (GCF) of 82474 and 82489 is 1.

GCF(82474,82489) = 1

We will now calculate the prime factors of 82474 and 82489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82474 and 82489.

How to find the GCF of 82474 and 82489?

We will first find the prime factorization of 82474 and 82489. After we will calculate the factors of 82474 and 82489 and find the biggest common factor number .

Step-1: Prime Factorization of 82474

Prime factors of 82474 are 2, 7, 43, 137. Prime factorization of 82474 in exponential form is:

82474 = 2¹ × 7¹ × 43¹ × 137¹

Step-2: Prime Factorization of 82489

Prime factors of 82489 are 11, 7499. Prime factorization of 82489 in exponential form is:

82489 = 11¹ × 7499¹

Step-3: Factors of 82474

List of positive integer factors of 82474 that divides 82474 without a remainder.

1, 2, 7, 14, 43, 86, 137, 274, 301, 602, 959, 1918, 5891, 11782, 41237

Step-4: Factors of 82489

List of positive integer factors of 82489 that divides 82474 without a remainder.

1, 11, 7499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82474 and 82489. The biggest common factor number is the GCF number.
So the greatest common factor 82474 and 82489 is 1.

Also check out the Least Common Multiple of 82474 and 82489