What is the Greatest Common Factor of 90629 and 90638?

Greatest common factor (GCF) of 90629 and 90638 is 1.

GCF(90629,90638) = 1

We will now calculate the prime factors of 90629 and 90638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90629 and 90638.

How to find the GCF of 90629 and 90638?

We will first find the prime factorization of 90629 and 90638. After we will calculate the factors of 90629 and 90638 and find the biggest common factor number .

Step-1: Prime Factorization of 90629

Prime factors of 90629 are 7, 11, 107. Prime factorization of 90629 in exponential form is:

90629 = 7¹ × 11² × 107¹

Step-2: Prime Factorization of 90638

Prime factors of 90638 are 2, 45319. Prime factorization of 90638 in exponential form is:

90638 = 2¹ × 45319¹

Step-3: Factors of 90629

List of positive integer factors of 90629 that divides 90629 without a remainder.

1, 7, 11, 77, 107, 121, 749, 847, 1177, 8239, 12947

Step-4: Factors of 90638

List of positive integer factors of 90638 that divides 90629 without a remainder.

1, 2, 45319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90629 and 90638. The biggest common factor number is the GCF number.
So the greatest common factor 90629 and 90638 is 1.

Also check out the Least Common Multiple of 90629 and 90638