What is the Greatest Common Factor of 82354 and 82360?

Greatest common factor (GCF) of 82354 and 82360 is 2.

GCF(82354,82360) = 2

We will now calculate the prime factors of 82354 and 82360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82354 and 82360.

How to find the GCF of 82354 and 82360?

We will first find the prime factorization of 82354 and 82360. After we will calculate the factors of 82354 and 82360 and find the biggest common factor number .

Step-1: Prime Factorization of 82354

Prime factors of 82354 are 2, 41177. Prime factorization of 82354 in exponential form is:

82354 = 2¹ × 41177¹

Step-2: Prime Factorization of 82360

Prime factors of 82360 are 2, 5, 29, 71. Prime factorization of 82360 in exponential form is:

82360 = 2³ × 5¹ × 29¹ × 71¹

Step-3: Factors of 82354

List of positive integer factors of 82354 that divides 82354 without a remainder.

1, 2, 41177

Step-4: Factors of 82360

List of positive integer factors of 82360 that divides 82354 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 71, 116, 142, 145, 232, 284, 290, 355, 568, 580, 710, 1160, 1420, 2059, 2840, 4118, 8236, 10295, 16472, 20590, 41180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82354 and 82360. The biggest common factor number is the GCF number.
So the greatest common factor 82354 and 82360 is 2.

Also check out the Least Common Multiple of 82354 and 82360