What is the Greatest Common Factor of 70760 and 70772?

Greatest common factor (GCF) of 70760 and 70772 is 4.

GCF(70760,70772) = 4

We will now calculate the prime factors of 70760 and 70772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70760 and 70772.

How to find the GCF of 70760 and 70772?

We will first find the prime factorization of 70760 and 70772. After we will calculate the factors of 70760 and 70772 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 70772

Prime factors of 70772 are 2, 13, 1361. Prime factorization of 70772 in exponential form is:

70772 = 2² × 13¹ × 1361¹

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 70772

List of positive integer factors of 70772 that divides 70760 without a remainder.

1, 2, 4, 13, 26, 52, 1361, 2722, 5444, 17693, 35386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70760 and 70772. The biggest common factor number is the GCF number.
So the greatest common factor 70760 and 70772 is 4.

Also check out the Least Common Multiple of 70760 and 70772