What is the Greatest Common Factor of 70745 and 70760?

Greatest common factor (GCF) of 70745 and 70760 is 5.

GCF(70745,70760) = 5

We will now calculate the prime factors of 70745 and 70760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70745 and 70760.

How to find the GCF of 70745 and 70760?

We will first find the prime factorization of 70745 and 70760. After we will calculate the factors of 70745 and 70760 and find the biggest common factor number .

Step-1: Prime Factorization of 70745

Prime factors of 70745 are 5, 14149. Prime factorization of 70745 in exponential form is:

70745 = 5¹ × 14149¹

Step-2: 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-3: Factors of 70745

List of positive integer factors of 70745 that divides 70745 without a remainder.

1, 5, 14149

Step-4: Factors of 70760

List of positive integer factors of 70760 that divides 70745 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70745 and 70760. The biggest common factor number is the GCF number.
So the greatest common factor 70745 and 70760 is 5.

Also check out the Least Common Multiple of 70745 and 70760