What is the Greatest Common Factor of 29614 and 29618?

Greatest common factor (GCF) of 29614 and 29618 is 2.

GCF(29614,29618) = 2

We will now calculate the prime factors of 29614 and 29618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29614 and 29618.

How to find the GCF of 29614 and 29618?

We will first find the prime factorization of 29614 and 29618. After we will calculate the factors of 29614 and 29618 and find the biggest common factor number .

Step-1: Prime Factorization of 29614

Prime factors of 29614 are 2, 13, 17, 67. Prime factorization of 29614 in exponential form is:

29614 = 2¹ × 13¹ × 17¹ × 67¹

Step-2: Prime Factorization of 29618

Prime factors of 29618 are 2, 59, 251. Prime factorization of 29618 in exponential form is:

29618 = 2¹ × 59¹ × 251¹

Step-3: Factors of 29614

List of positive integer factors of 29614 that divides 29614 without a remainder.

1, 2, 13, 17, 26, 34, 67, 134, 221, 442, 871, 1139, 1742, 2278, 14807

Step-4: Factors of 29618

List of positive integer factors of 29618 that divides 29614 without a remainder.

1, 2, 59, 118, 251, 502, 14809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29614 and 29618. The biggest common factor number is the GCF number.
So the greatest common factor 29614 and 29618 is 2.

Also check out the Least Common Multiple of 29614 and 29618