What is the Greatest Common Factor of 35574 and 35588?

Greatest common factor (GCF) of 35574 and 35588 is 14.

GCF(35574,35588) = 14

We will now calculate the prime factors of 35574 and 35588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35574 and 35588.

How to find the GCF of 35574 and 35588?

We will first find the prime factorization of 35574 and 35588. After we will calculate the factors of 35574 and 35588 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 35588

Prime factors of 35588 are 2, 7, 31, 41. Prime factorization of 35588 in exponential form is:

35588 = 2² × 7¹ × 31¹ × 41¹

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 35588

List of positive integer factors of 35588 that divides 35574 without a remainder.

1, 2, 4, 7, 14, 28, 31, 41, 62, 82, 124, 164, 217, 287, 434, 574, 868, 1148, 1271, 2542, 5084, 8897, 17794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35574 and 35588. The biggest common factor number is the GCF number.
So the greatest common factor 35574 and 35588 is 14.

Also check out the Least Common Multiple of 35574 and 35588