What is the Greatest Common Factor of 82720 and 82733?

Greatest common factor (GCF) of 82720 and 82733 is 1.

GCF(82720,82733) = 1

We will now calculate the prime factors of 82720 and 82733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82720 and 82733.

How to find the GCF of 82720 and 82733?

We will first find the prime factorization of 82720 and 82733. After we will calculate the factors of 82720 and 82733 and find the biggest common factor number .

Step-1: Prime Factorization of 82720

Prime factors of 82720 are 2, 5, 11, 47. Prime factorization of 82720 in exponential form is:

82720 = 2⁵ × 5¹ × 11¹ × 47¹

Step-2: Prime Factorization of 82733

Prime factors of 82733 are 7, 53, 223. Prime factorization of 82733 in exponential form is:

82733 = 7¹ × 53¹ × 223¹

Step-3: Factors of 82720

List of positive integer factors of 82720 that divides 82720 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 47, 55, 80, 88, 94, 110, 160, 176, 188, 220, 235, 352, 376, 440, 470, 517, 752, 880, 940, 1034, 1504, 1760, 1880, 2068, 2585, 3760, 4136, 5170, 7520, 8272, 10340, 16544, 20680, 41360

Step-4: Factors of 82733

List of positive integer factors of 82733 that divides 82720 without a remainder.

1, 7, 53, 223, 371, 1561, 11819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82720 and 82733. The biggest common factor number is the GCF number.
So the greatest common factor 82720 and 82733 is 1.

Also check out the Least Common Multiple of 82720 and 82733