What is the Greatest Common Factor of 90618 and 90629?

Greatest common factor (GCF) of 90618 and 90629 is 11.

GCF(90618,90629) = 11

We will now calculate the prime factors of 90618 and 90629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90618 and 90629.

How to find the GCF of 90618 and 90629?

We will first find the prime factorization of 90618 and 90629. After we will calculate the factors of 90618 and 90629 and find the biggest common factor number .

Step-1: Prime Factorization of 90618

Prime factors of 90618 are 2, 3, 11, 1373. Prime factorization of 90618 in exponential form is:

90618 = 2¹ × 3¹ × 11¹ × 1373¹

Step-2: 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-3: Factors of 90618

List of positive integer factors of 90618 that divides 90618 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1373, 2746, 4119, 8238, 15103, 30206, 45309

Step-4: Factors of 90629

List of positive integer factors of 90629 that divides 90618 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90618 and 90629. The biggest common factor number is the GCF number.
So the greatest common factor 90618 and 90629 is 11.

Also check out the Least Common Multiple of 90618 and 90629