What is the Greatest Common Factor of 35574 and 35585?

Greatest common factor (GCF) of 35574 and 35585 is 11.

GCF(35574,35585) = 11

We will now calculate the prime factors of 35574 and 35585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35574 and 35585.

How to find the GCF of 35574 and 35585?

We will first find the prime factorization of 35574 and 35585. After we will calculate the factors of 35574 and 35585 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 35585

Prime factors of 35585 are 5, 11, 647. Prime factorization of 35585 in exponential form is:

35585 = 5¹ × 11¹ × 647¹

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 35585

List of positive integer factors of 35585 that divides 35574 without a remainder.

1, 5, 11, 55, 647, 3235, 7117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35574 and 35585. The biggest common factor number is the GCF number.
So the greatest common factor 35574 and 35585 is 11.

Also check out the Least Common Multiple of 35574 and 35585