What is the Greatest Common Factor of 70727 and 70735?

Greatest common factor (GCF) of 70727 and 70735 is 1.

GCF(70727,70735) = 1

We will now calculate the prime factors of 70727 and 70735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70727 and 70735.

How to find the GCF of 70727 and 70735?

We will first find the prime factorization of 70727 and 70735. After we will calculate the factors of 70727 and 70735 and find the biggest common factor number .

Step-1: Prime Factorization of 70727

Prime factors of 70727 are 107, 661. Prime factorization of 70727 in exponential form is:

70727 = 107¹ × 661¹

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 70727

List of positive integer factors of 70727 that divides 70727 without a remainder.

1, 107, 661

Step-4: Factors of 70735

List of positive integer factors of 70735 that divides 70727 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 70727 and 70735. The biggest common factor number is the GCF number.
So the greatest common factor 70727 and 70735 is 1.

Also check out the Least Common Multiple of 70727 and 70735