What is the Greatest Common Factor of 81562 and 81567?

Greatest common factor (GCF) of 81562 and 81567 is 1.

GCF(81562,81567) = 1

We will now calculate the prime factors of 81562 and 81567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81562 and 81567.

How to find the GCF of 81562 and 81567?

We will first find the prime factorization of 81562 and 81567. After we will calculate the factors of 81562 and 81567 and find the biggest common factor number .

Step-1: Prime Factorization of 81562

Prime factors of 81562 are 2, 13, 3137. Prime factorization of 81562 in exponential form is:

81562 = 2¹ × 13¹ × 3137¹

Step-2: Prime Factorization of 81567

Prime factors of 81567 are 3, 19, 53. Prime factorization of 81567 in exponential form is:

81567 = 3⁴ × 19¹ × 53¹

Step-3: Factors of 81562

List of positive integer factors of 81562 that divides 81562 without a remainder.

1, 2, 13, 26, 3137, 6274, 40781

Step-4: Factors of 81567

List of positive integer factors of 81567 that divides 81562 without a remainder.

1, 3, 9, 19, 27, 53, 57, 81, 159, 171, 477, 513, 1007, 1431, 1539, 3021, 4293, 9063, 27189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81562 and 81567. The biggest common factor number is the GCF number.
So the greatest common factor 81562 and 81567 is 1.

Also check out the Least Common Multiple of 81562 and 81567