What is the Greatest Common Factor of 34719 and 34736?

Greatest common factor (GCF) of 34719 and 34736 is 1.

GCF(34719,34736) = 1

We will now calculate the prime factors of 34719 and 34736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34719 and 34736.

How to find the GCF of 34719 and 34736?

We will first find the prime factorization of 34719 and 34736. After we will calculate the factors of 34719 and 34736 and find the biggest common factor number .

Step-1: Prime Factorization of 34719

Prime factors of 34719 are 3, 71, 163. Prime factorization of 34719 in exponential form is:

34719 = 3¹ × 71¹ × 163¹

Step-2: Prime Factorization of 34736

Prime factors of 34736 are 2, 13, 167. Prime factorization of 34736 in exponential form is:

34736 = 2⁴ × 13¹ × 167¹

Step-3: Factors of 34719

List of positive integer factors of 34719 that divides 34719 without a remainder.

1, 3, 71, 163, 213, 489, 11573

Step-4: Factors of 34736

List of positive integer factors of 34736 that divides 34719 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 167, 208, 334, 668, 1336, 2171, 2672, 4342, 8684, 17368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34719 and 34736. The biggest common factor number is the GCF number.
So the greatest common factor 34719 and 34736 is 1.

Also check out the Least Common Multiple of 34719 and 34736