What is the Greatest Common Factor of 33374 and 33380?

Greatest common factor (GCF) of 33374 and 33380 is 2.

GCF(33374,33380) = 2

We will now calculate the prime factors of 33374 and 33380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33374 and 33380.

How to find the GCF of 33374 and 33380?

We will first find the prime factorization of 33374 and 33380. After we will calculate the factors of 33374 and 33380 and find the biggest common factor number .

Step-1: Prime Factorization of 33374

Prime factors of 33374 are 2, 11, 37, 41. Prime factorization of 33374 in exponential form is:

33374 = 2¹ × 11¹ × 37¹ × 41¹

Step-2: Prime Factorization of 33380

Prime factors of 33380 are 2, 5, 1669. Prime factorization of 33380 in exponential form is:

33380 = 2² × 5¹ × 1669¹

Step-3: Factors of 33374

List of positive integer factors of 33374 that divides 33374 without a remainder.

1, 2, 11, 22, 37, 41, 74, 82, 407, 451, 814, 902, 1517, 3034, 16687

Step-4: Factors of 33380

List of positive integer factors of 33380 that divides 33374 without a remainder.

1, 2, 4, 5, 10, 20, 1669, 3338, 6676, 8345, 16690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33374 and 33380. The biggest common factor number is the GCF number.
So the greatest common factor 33374 and 33380 is 2.

Also check out the Least Common Multiple of 33374 and 33380