What is the Greatest Common Factor of 70731 and 70735?

Greatest common factor (GCF) of 70731 and 70735 is 1.

GCF(70731,70735) = 1

We will now calculate the prime factors of 70731 and 70735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70731 and 70735.

How to find the GCF of 70731 and 70735?

We will first find the prime factorization of 70731 and 70735. After we will calculate the factors of 70731 and 70735 and find the biggest common factor number .

Step-1: Prime Factorization of 70731

Prime factors of 70731 are 3, 29, 271. Prime factorization of 70731 in exponential form is:

70731 = 3² × 29¹ × 271¹

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 70731

List of positive integer factors of 70731 that divides 70731 without a remainder.

1, 3, 9, 29, 87, 261, 271, 813, 2439, 7859, 23577

Step-4: Factors of 70735

List of positive integer factors of 70735 that divides 70731 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 70731 and 70735. The biggest common factor number is the GCF number.
So the greatest common factor 70731 and 70735 is 1.

Also check out the Least Common Multiple of 70731 and 70735