What is the Greatest Common Factor of 70618 and 70630?

Greatest common factor (GCF) of 70618 and 70630 is 2.

GCF(70618,70630) = 2

We will now calculate the prime factors of 70618 and 70630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70618 and 70630.

How to find the GCF of 70618 and 70630?

We will first find the prime factorization of 70618 and 70630. After we will calculate the factors of 70618 and 70630 and find the biggest common factor number .

Step-1: Prime Factorization of 70618

Prime factors of 70618 are 2, 17, 31, 67. Prime factorization of 70618 in exponential form is:

70618 = 2¹ × 17¹ × 31¹ × 67¹

Step-2: Prime Factorization of 70630

Prime factors of 70630 are 2, 5, 7, 1009. Prime factorization of 70630 in exponential form is:

70630 = 2¹ × 5¹ × 7¹ × 1009¹

Step-3: Factors of 70618

List of positive integer factors of 70618 that divides 70618 without a remainder.

1, 2, 17, 31, 34, 62, 67, 134, 527, 1054, 1139, 2077, 2278, 4154, 35309

Step-4: Factors of 70630

List of positive integer factors of 70630 that divides 70618 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1009, 2018, 5045, 7063, 10090, 14126, 35315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70618 and 70630. The biggest common factor number is the GCF number.
So the greatest common factor 70618 and 70630 is 2.

Also check out the Least Common Multiple of 70618 and 70630