What is the Greatest Common Factor of 70719 and 70736?

Greatest common factor (GCF) of 70719 and 70736 is 1.

GCF(70719,70736) = 1

We will now calculate the prime factors of 70719 and 70736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70719 and 70736.

How to find the GCF of 70719 and 70736?

We will first find the prime factorization of 70719 and 70736. After we will calculate the factors of 70719 and 70736 and find the biggest common factor number .

Step-1: Prime Factorization of 70719

Prime factors of 70719 are 3, 11, 2143. Prime factorization of 70719 in exponential form is:

70719 = 3¹ × 11¹ × 2143¹

Step-2: Prime Factorization of 70736

Prime factors of 70736 are 2, 4421. Prime factorization of 70736 in exponential form is:

70736 = 2⁴ × 4421¹

Step-3: Factors of 70719

List of positive integer factors of 70719 that divides 70719 without a remainder.

1, 3, 11, 33, 2143, 6429, 23573

Step-4: Factors of 70736

List of positive integer factors of 70736 that divides 70719 without a remainder.

1, 2, 4, 8, 16, 4421, 8842, 17684, 35368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70719 and 70736. The biggest common factor number is the GCF number.
So the greatest common factor 70719 and 70736 is 1.

Also check out the Least Common Multiple of 70719 and 70736