What is the Greatest Common Factor of 90028 and 90035?

Greatest common factor (GCF) of 90028 and 90035 is 1.

GCF(90028,90035) = 1

We will now calculate the prime factors of 90028 and 90035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90028 and 90035.

How to find the GCF of 90028 and 90035?

We will first find the prime factorization of 90028 and 90035. After we will calculate the factors of 90028 and 90035 and find the biggest common factor number .

Step-1: Prime Factorization of 90028

Prime factors of 90028 are 2, 71, 317. Prime factorization of 90028 in exponential form is:

90028 = 2² × 71¹ × 317¹

Step-2: Prime Factorization of 90035

Prime factors of 90035 are 5, 11, 1637. Prime factorization of 90035 in exponential form is:

90035 = 5¹ × 11¹ × 1637¹

Step-3: Factors of 90028

List of positive integer factors of 90028 that divides 90028 without a remainder.

1, 2, 4, 71, 142, 284, 317, 634, 1268, 22507, 45014

Step-4: Factors of 90035

List of positive integer factors of 90035 that divides 90028 without a remainder.

1, 5, 11, 55, 1637, 8185, 18007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90028 and 90035. The biggest common factor number is the GCF number.
So the greatest common factor 90028 and 90035 is 1.

Also check out the Least Common Multiple of 90028 and 90035