What is the Greatest Common Factor of 35564 and 35574?

Greatest common factor (GCF) of 35564 and 35574 is 2.

GCF(35564,35574) = 2

We will now calculate the prime factors of 35564 and 35574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35564 and 35574.

How to find the GCF of 35564 and 35574?

We will first find the prime factorization of 35564 and 35574. After we will calculate the factors of 35564 and 35574 and find the biggest common factor number .

Step-1: Prime Factorization of 35564

Prime factors of 35564 are 2, 17, 523. Prime factorization of 35564 in exponential form is:

35564 = 2² × 17¹ × 523¹

Step-2: 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-3: Factors of 35564

List of positive integer factors of 35564 that divides 35564 without a remainder.

1, 2, 4, 17, 34, 68, 523, 1046, 2092, 8891, 17782

Step-4: Factors of 35574

List of positive integer factors of 35574 that divides 35564 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35564 and 35574. The biggest common factor number is the GCF number.
So the greatest common factor 35564 and 35574 is 2.

Also check out the Least Common Multiple of 35564 and 35574