What is the Greatest Common Factor of 35574 and 35583?

Greatest common factor (GCF) of 35574 and 35583 is 3.

GCF(35574,35583) = 3

We will now calculate the prime factors of 35574 and 35583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35574 and 35583.

How to find the GCF of 35574 and 35583?

We will first find the prime factorization of 35574 and 35583. After we will calculate the factors of 35574 and 35583 and find the biggest common factor number .

Step-1: Prime Factorization of 35574

Prime factors of 35574 are 2, 3, 7, 11. Prime factorization of 35574 in exponential form is:

35574 = 2¹ × 3¹ × 7² × 11²

Step-2: Prime Factorization of 35583

Prime factors of 35583 are 3, 29, 409. Prime factorization of 35583 in exponential form is:

35583 = 3¹ × 29¹ × 409¹

Step-3: Factors of 35574

List of positive integer factors of 35574 that divides 35574 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 121, 147, 154, 231, 242, 294, 363, 462, 539, 726, 847, 1078, 1617, 1694, 2541, 3234, 5082, 5929, 11858, 17787

Step-4: Factors of 35583

List of positive integer factors of 35583 that divides 35574 without a remainder.

1, 3, 29, 87, 409, 1227, 11861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35574 and 35583. The biggest common factor number is the GCF number.
So the greatest common factor 35574 and 35583 is 3.

Also check out the Least Common Multiple of 35574 and 35583