What is the Greatest Common Factor of 70718 and 70736?

Greatest common factor (GCF) of 70718 and 70736 is 2.

GCF(70718,70736) = 2

We will now calculate the prime factors of 70718 and 70736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70718 and 70736.

How to find the GCF of 70718 and 70736?

We will first find the prime factorization of 70718 and 70736. After we will calculate the factors of 70718 and 70736 and find the biggest common factor number .

Step-1: Prime Factorization of 70718

Prime factors of 70718 are 2, 19, 1861. Prime factorization of 70718 in exponential form is:

70718 = 2¹ × 19¹ × 1861¹

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 70718

List of positive integer factors of 70718 that divides 70718 without a remainder.

1, 2, 19, 38, 1861, 3722, 35359

Step-4: Factors of 70736

List of positive integer factors of 70736 that divides 70718 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 70718 and 70736. The biggest common factor number is the GCF number.
So the greatest common factor 70718 and 70736 is 2.

Also check out the Least Common Multiple of 70718 and 70736