What is the Greatest Common Factor of 32574 and 32580?

Greatest common factor (GCF) of 32574 and 32580 is 6.

GCF(32574,32580) = 6

We will now calculate the prime factors of 32574 and 32580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32574 and 32580.

How to find the GCF of 32574 and 32580?

We will first find the prime factorization of 32574 and 32580. After we will calculate the factors of 32574 and 32580 and find the biggest common factor number .

Step-1: Prime Factorization of 32574

Prime factors of 32574 are 2, 3, 61, 89. Prime factorization of 32574 in exponential form is:

32574 = 2¹ × 3¹ × 61¹ × 89¹

Step-2: Prime Factorization of 32580

Prime factors of 32580 are 2, 3, 5, 181. Prime factorization of 32580 in exponential form is:

32580 = 2² × 3² × 5¹ × 181¹

Step-3: Factors of 32574

List of positive integer factors of 32574 that divides 32574 without a remainder.

1, 2, 3, 6, 61, 89, 122, 178, 183, 267, 366, 534, 5429, 10858, 16287

Step-4: Factors of 32580

List of positive integer factors of 32580 that divides 32574 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 181, 362, 543, 724, 905, 1086, 1629, 1810, 2172, 2715, 3258, 3620, 5430, 6516, 8145, 10860, 16290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32574 and 32580. The biggest common factor number is the GCF number.
So the greatest common factor 32574 and 32580 is 6.

Also check out the Least Common Multiple of 32574 and 32580