What is the Greatest Common Factor of 70760 and 70768?

Greatest common factor (GCF) of 70760 and 70768 is 8.

GCF(70760,70768) = 8

We will now calculate the prime factors of 70760 and 70768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70760 and 70768.

How to find the GCF of 70760 and 70768?

We will first find the prime factorization of 70760 and 70768. After we will calculate the factors of 70760 and 70768 and find the biggest common factor number .

Step-1: Prime Factorization of 70760

Prime factors of 70760 are 2, 5, 29, 61. Prime factorization of 70760 in exponential form is:

70760 = 2³ × 5¹ × 29¹ × 61¹

Step-2: Prime Factorization of 70768

Prime factors of 70768 are 2, 4423. Prime factorization of 70768 in exponential form is:

70768 = 2⁴ × 4423¹

Step-3: Factors of 70760

List of positive integer factors of 70760 that divides 70760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 61, 116, 122, 145, 232, 244, 290, 305, 488, 580, 610, 1160, 1220, 1769, 2440, 3538, 7076, 8845, 14152, 17690, 35380

Step-4: Factors of 70768

List of positive integer factors of 70768 that divides 70760 without a remainder.

1, 2, 4, 8, 16, 4423, 8846, 17692, 35384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70760 and 70768. The biggest common factor number is the GCF number.
So the greatest common factor 70760 and 70768 is 8.

Also check out the Least Common Multiple of 70760 and 70768