What is the Greatest Common Factor of 90627 and 90639?

Greatest common factor (GCF) of 90627 and 90639 is 3.

GCF(90627,90639) = 3

We will now calculate the prime factors of 90627 and 90639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90627 and 90639.

How to find the GCF of 90627 and 90639?

We will first find the prime factorization of 90627 and 90639. After we will calculate the factors of 90627 and 90639 and find the biggest common factor number .

Step-1: Prime Factorization of 90627

Prime factors of 90627 are 3, 17, 1777. Prime factorization of 90627 in exponential form is:

90627 = 3¹ × 17¹ × 1777¹

Step-2: Prime Factorization of 90639

Prime factors of 90639 are 3, 373. Prime factorization of 90639 in exponential form is:

90639 = 3⁵ × 373¹

Step-3: Factors of 90627

List of positive integer factors of 90627 that divides 90627 without a remainder.

1, 3, 17, 51, 1777, 5331, 30209

Step-4: Factors of 90639

List of positive integer factors of 90639 that divides 90627 without a remainder.

1, 3, 9, 27, 81, 243, 373, 1119, 3357, 10071, 30213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90627 and 90639. The biggest common factor number is the GCF number.
So the greatest common factor 90627 and 90639 is 3.

Also check out the Least Common Multiple of 90627 and 90639