What is the Greatest Common Factor of 82720 and 82732?

Greatest common factor (GCF) of 82720 and 82732 is 4.

GCF(82720,82732) = 4

We will now calculate the prime factors of 82720 and 82732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82720 and 82732.

How to find the GCF of 82720 and 82732?

We will first find the prime factorization of 82720 and 82732. After we will calculate the factors of 82720 and 82732 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 82732

Prime factors of 82732 are 2, 13, 37, 43. Prime factorization of 82732 in exponential form is:

82732 = 2² × 13¹ × 37¹ × 43¹

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 82732

List of positive integer factors of 82732 that divides 82720 without a remainder.

1, 2, 4, 13, 26, 37, 43, 52, 74, 86, 148, 172, 481, 559, 962, 1118, 1591, 1924, 2236, 3182, 6364, 20683, 41366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82720 and 82732. The biggest common factor number is the GCF number.
So the greatest common factor 82720 and 82732 is 4.

Also check out the Least Common Multiple of 82720 and 82732