What is the Greatest Common Factor of 81508 and 81515?

Greatest common factor (GCF) of 81508 and 81515 is 7.

GCF(81508,81515) = 7

We will now calculate the prime factors of 81508 and 81515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81508 and 81515.

How to find the GCF of 81508 and 81515?

We will first find the prime factorization of 81508 and 81515. After we will calculate the factors of 81508 and 81515 and find the biggest common factor number .

Step-1: Prime Factorization of 81508

Prime factors of 81508 are 2, 7, 41, 71. Prime factorization of 81508 in exponential form is:

81508 = 2² × 7¹ × 41¹ × 71¹

Step-2: Prime Factorization of 81515

Prime factors of 81515 are 5, 7, 17, 137. Prime factorization of 81515 in exponential form is:

81515 = 5¹ × 7¹ × 17¹ × 137¹

Step-3: Factors of 81508

List of positive integer factors of 81508 that divides 81508 without a remainder.

1, 2, 4, 7, 14, 28, 41, 71, 82, 142, 164, 284, 287, 497, 574, 994, 1148, 1988, 2911, 5822, 11644, 20377, 40754

Step-4: Factors of 81515

List of positive integer factors of 81515 that divides 81508 without a remainder.

1, 5, 7, 17, 35, 85, 119, 137, 595, 685, 959, 2329, 4795, 11645, 16303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81508 and 81515. The biggest common factor number is the GCF number.
So the greatest common factor 81508 and 81515 is 7.

Also check out the Least Common Multiple of 81508 and 81515