What is the Greatest Common Factor of 82540 and 82548?

Greatest common factor (GCF) of 82540 and 82548 is 4.

GCF(82540,82548) = 4

We will now calculate the prime factors of 82540 and 82548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82540 and 82548.

How to find the GCF of 82540 and 82548?

We will first find the prime factorization of 82540 and 82548. After we will calculate the factors of 82540 and 82548 and find the biggest common factor number .

Step-1: Prime Factorization of 82540

Prime factors of 82540 are 2, 5, 4127. Prime factorization of 82540 in exponential form is:

82540 = 2² × 5¹ × 4127¹

Step-2: Prime Factorization of 82548

Prime factors of 82548 are 2, 3, 2293. Prime factorization of 82548 in exponential form is:

82548 = 2² × 3² × 2293¹

Step-3: Factors of 82540

List of positive integer factors of 82540 that divides 82540 without a remainder.

1, 2, 4, 5, 10, 20, 4127, 8254, 16508, 20635, 41270

Step-4: Factors of 82548

List of positive integer factors of 82548 that divides 82540 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2293, 4586, 6879, 9172, 13758, 20637, 27516, 41274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82540 and 82548. The biggest common factor number is the GCF number.
So the greatest common factor 82540 and 82548 is 4.

Also check out the Least Common Multiple of 82540 and 82548