What is the Greatest Common Factor of 70716 and 70735?

Greatest common factor (GCF) of 70716 and 70735 is 1.

GCF(70716,70735) = 1

We will now calculate the prime factors of 70716 and 70735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70716 and 70735.

How to find the GCF of 70716 and 70735?

We will first find the prime factorization of 70716 and 70735. After we will calculate the factors of 70716 and 70735 and find the biggest common factor number .

Step-1: Prime Factorization of 70716

Prime factors of 70716 are 2, 3, 71, 83. Prime factorization of 70716 in exponential form is:

70716 = 2² × 3¹ × 71¹ × 83¹

Step-2: Prime Factorization of 70735

Prime factors of 70735 are 5, 7, 43, 47. Prime factorization of 70735 in exponential form is:

70735 = 5¹ × 7¹ × 43¹ × 47¹

Step-3: Factors of 70716

List of positive integer factors of 70716 that divides 70716 without a remainder.

1, 2, 3, 4, 6, 12, 71, 83, 142, 166, 213, 249, 284, 332, 426, 498, 852, 996, 5893, 11786, 17679, 23572, 35358

Step-4: Factors of 70735

List of positive integer factors of 70735 that divides 70716 without a remainder.

1, 5, 7, 35, 43, 47, 215, 235, 301, 329, 1505, 1645, 2021, 10105, 14147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70716 and 70735. The biggest common factor number is the GCF number.
So the greatest common factor 70716 and 70735 is 1.

Also check out the Least Common Multiple of 70716 and 70735