What is the Greatest Common Factor of 35618 and 35630?

Greatest common factor (GCF) of 35618 and 35630 is 2.

GCF(35618,35630) = 2

We will now calculate the prime factors of 35618 and 35630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35618 and 35630.

How to find the GCF of 35618 and 35630?

We will first find the prime factorization of 35618 and 35630. After we will calculate the factors of 35618 and 35630 and find the biggest common factor number .

Step-1: Prime Factorization of 35618

Prime factors of 35618 are 2, 11, 1619. Prime factorization of 35618 in exponential form is:

35618 = 2¹ × 11¹ × 1619¹

Step-2: Prime Factorization of 35630

Prime factors of 35630 are 2, 5, 7, 509. Prime factorization of 35630 in exponential form is:

35630 = 2¹ × 5¹ × 7¹ × 509¹

Step-3: Factors of 35618

List of positive integer factors of 35618 that divides 35618 without a remainder.

1, 2, 11, 22, 1619, 3238, 17809

Step-4: Factors of 35630

List of positive integer factors of 35630 that divides 35618 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 509, 1018, 2545, 3563, 5090, 7126, 17815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35618 and 35630. The biggest common factor number is the GCF number.
So the greatest common factor 35618 and 35630 is 2.

Also check out the Least Common Multiple of 35618 and 35630