What is the Greatest Common Factor of 35066 and 35077?

Greatest common factor (GCF) of 35066 and 35077 is 1.

GCF(35066,35077) = 1

We will now calculate the prime factors of 35066 and 35077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35066 and 35077.

How to find the GCF of 35066 and 35077?

We will first find the prime factorization of 35066 and 35077. After we will calculate the factors of 35066 and 35077 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35077

Prime factors of 35077 are 7, 5011. Prime factorization of 35077 in exponential form is:

35077 = 7¹ × 5011¹

Step-3: Factors of 35066

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

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

Step-4: Factors of 35077

List of positive integer factors of 35077 that divides 35066 without a remainder.

1, 7, 5011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35066 and 35077. The biggest common factor number is the GCF number.
So the greatest common factor 35066 and 35077 is 1.

Also check out the Least Common Multiple of 35066 and 35077