What is the Greatest Common Factor of 90363 and 90370?

Greatest common factor (GCF) of 90363 and 90370 is 7.

GCF(90363,90370) = 7

We will now calculate the prime factors of 90363 and 90370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90363 and 90370.

How to find the GCF of 90363 and 90370?

We will first find the prime factorization of 90363 and 90370. After we will calculate the factors of 90363 and 90370 and find the biggest common factor number .

Step-1: Prime Factorization of 90363

Prime factors of 90363 are 3, 7, 13, 331. Prime factorization of 90363 in exponential form is:

90363 = 3¹ × 7¹ × 13¹ × 331¹

Step-2: Prime Factorization of 90370

Prime factors of 90370 are 2, 5, 7, 1291. Prime factorization of 90370 in exponential form is:

90370 = 2¹ × 5¹ × 7¹ × 1291¹

Step-3: Factors of 90363

List of positive integer factors of 90363 that divides 90363 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 331, 993, 2317, 4303, 6951, 12909, 30121

Step-4: Factors of 90370

List of positive integer factors of 90370 that divides 90363 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1291, 2582, 6455, 9037, 12910, 18074, 45185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90363 and 90370. The biggest common factor number is the GCF number.
So the greatest common factor 90363 and 90370 is 7.

Also check out the Least Common Multiple of 90363 and 90370