What is the Greatest Common Factor of 90292 and 90307?

Greatest common factor (GCF) of 90292 and 90307 is 1.

GCF(90292,90307) = 1

We will now calculate the prime factors of 90292 and 90307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90292 and 90307.

How to find the GCF of 90292 and 90307?

We will first find the prime factorization of 90292 and 90307. After we will calculate the factors of 90292 and 90307 and find the biggest common factor number .

Step-1: Prime Factorization of 90292

Prime factors of 90292 are 2, 22573. Prime factorization of 90292 in exponential form is:

90292 = 2² × 22573¹

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 90292

List of positive integer factors of 90292 that divides 90292 without a remainder.

1, 2, 4, 22573, 45146

Step-4: Factors of 90307

List of positive integer factors of 90307 that divides 90292 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 90292 and 90307. The biggest common factor number is the GCF number.
So the greatest common factor 90292 and 90307 is 1.

Also check out the Least Common Multiple of 90292 and 90307