What is the Greatest Common Factor of 90290 and 90307?

Greatest common factor (GCF) of 90290 and 90307 is 1.

GCF(90290,90307) = 1

We will now calculate the prime factors of 90290 and 90307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90290 and 90307.

How to find the GCF of 90290 and 90307?

We will first find the prime factorization of 90290 and 90307. After we will calculate the factors of 90290 and 90307 and find the biggest common factor number .

Step-1: Prime Factorization of 90290

Prime factors of 90290 are 2, 5, 9029. Prime factorization of 90290 in exponential form is:

90290 = 2¹ × 5¹ × 9029¹

Step-2: Prime Factorization of 90307

Prime factors of 90307 are 7, 19, 97. Prime factorization of 90307 in exponential form is:

90307 = 7² × 19¹ × 97¹

Step-3: Factors of 90290

List of positive integer factors of 90290 that divides 90290 without a remainder.

1, 2, 5, 10, 9029, 18058, 45145

Step-4: Factors of 90307

List of positive integer factors of 90307 that divides 90290 without a remainder.

1, 7, 19, 49, 97, 133, 679, 931, 1843, 4753, 12901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90290 and 90307. The biggest common factor number is the GCF number.
So the greatest common factor 90290 and 90307 is 1.

Also check out the Least Common Multiple of 90290 and 90307