What is the Greatest Common Factor of 35574 and 35579?

Greatest common factor (GCF) of 35574 and 35579 is 1.

GCF(35574,35579) = 1

We will now calculate the prime factors of 35574 and 35579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35574 and 35579.

How to find the GCF of 35574 and 35579?

We will first find the prime factorization of 35574 and 35579. After we will calculate the factors of 35574 and 35579 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 35579

Prime factors of 35579 are 47, 757. Prime factorization of 35579 in exponential form is:

35579 = 47¹ × 757¹

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 35579

List of positive integer factors of 35579 that divides 35574 without a remainder.

1, 47, 757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35574 and 35579. The biggest common factor number is the GCF number.
So the greatest common factor 35574 and 35579 is 1.

Also check out the Least Common Multiple of 35574 and 35579