What is the Greatest Common Factor of 70735 and 70746?

Greatest common factor (GCF) of 70735 and 70746 is 1.

GCF(70735,70746) = 1

We will now calculate the prime factors of 70735 and 70746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70735 and 70746.

How to find the GCF of 70735 and 70746?

We will first find the prime factorization of 70735 and 70746. After we will calculate the factors of 70735 and 70746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70746

Prime factors of 70746 are 2, 3, 13, 907. Prime factorization of 70746 in exponential form is:

70746 = 2¹ × 3¹ × 13¹ × 907¹

Step-3: Factors of 70735

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

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

Step-4: Factors of 70746

List of positive integer factors of 70746 that divides 70735 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 907, 1814, 2721, 5442, 11791, 23582, 35373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70735 and 70746. The biggest common factor number is the GCF number.
So the greatest common factor 70735 and 70746 is 1.

Also check out the Least Common Multiple of 70735 and 70746