What is the Greatest Common Factor of 35049 and 35066?

Greatest common factor (GCF) of 35049 and 35066 is 1.

GCF(35049,35066) = 1

We will now calculate the prime factors of 35049 and 35066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35049 and 35066.

How to find the GCF of 35049 and 35066?

We will first find the prime factorization of 35049 and 35066. After we will calculate the factors of 35049 and 35066 and find the biggest common factor number .

Step-1: Prime Factorization of 35049

Prime factors of 35049 are 3, 7, 1669. Prime factorization of 35049 in exponential form is:

35049 = 3¹ × 7¹ × 1669¹

Step-2: Prime Factorization of 35066

Prime factors of 35066 are 2, 89, 197. Prime factorization of 35066 in exponential form is:

35066 = 2¹ × 89¹ × 197¹

Step-3: Factors of 35049

List of positive integer factors of 35049 that divides 35049 without a remainder.

1, 3, 7, 21, 1669, 5007, 11683

Step-4: Factors of 35066

List of positive integer factors of 35066 that divides 35049 without a remainder.

1, 2, 89, 178, 197, 394, 17533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35049 and 35066. The biggest common factor number is the GCF number.
So the greatest common factor 35049 and 35066 is 1.

Also check out the Least Common Multiple of 35049 and 35066