What is the Greatest Common Factor of 35077 and 35084?

Greatest common factor (GCF) of 35077 and 35084 is 7.

GCF(35077,35084) = 7

We will now calculate the prime factors of 35077 and 35084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35077 and 35084.

How to find the GCF of 35077 and 35084?

We will first find the prime factorization of 35077 and 35084. After we will calculate the factors of 35077 and 35084 and find the biggest common factor number .

Step-1: Prime Factorization of 35077

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

35077 = 7¹ × 5011¹

Step-2: Prime Factorization of 35084

Prime factors of 35084 are 2, 7, 179. Prime factorization of 35084 in exponential form is:

35084 = 2² × 7² × 179¹

Step-3: Factors of 35077

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

1, 7, 5011

Step-4: Factors of 35084

List of positive integer factors of 35084 that divides 35077 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 179, 196, 358, 716, 1253, 2506, 5012, 8771, 17542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35077 and 35084. The biggest common factor number is the GCF number.
So the greatest common factor 35077 and 35084 is 7.

Also check out the Least Common Multiple of 35077 and 35084