What is the Greatest Common Factor of 82552 and 82570?

Greatest common factor (GCF) of 82552 and 82570 is 2.

GCF(82552,82570) = 2

We will now calculate the prime factors of 82552 and 82570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82552 and 82570.

How to find the GCF of 82552 and 82570?

We will first find the prime factorization of 82552 and 82570. After we will calculate the factors of 82552 and 82570 and find the biggest common factor number .

Step-1: Prime Factorization of 82552

Prime factors of 82552 are 2, 17, 607. Prime factorization of 82552 in exponential form is:

82552 = 2³ × 17¹ × 607¹

Step-2: Prime Factorization of 82570

Prime factors of 82570 are 2, 5, 23, 359. Prime factorization of 82570 in exponential form is:

82570 = 2¹ × 5¹ × 23¹ × 359¹

Step-3: Factors of 82552

List of positive integer factors of 82552 that divides 82552 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 607, 1214, 2428, 4856, 10319, 20638, 41276

Step-4: Factors of 82570

List of positive integer factors of 82570 that divides 82552 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 359, 718, 1795, 3590, 8257, 16514, 41285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82552 and 82570. The biggest common factor number is the GCF number.
So the greatest common factor 82552 and 82570 is 2.

Also check out the Least Common Multiple of 82552 and 82570