What is the Greatest Common Factor of 70755 and 70771?

Greatest common factor (GCF) of 70755 and 70771 is 1.

GCF(70755,70771) = 1

We will now calculate the prime factors of 70755 and 70771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70755 and 70771.

How to find the GCF of 70755 and 70771?

We will first find the prime factorization of 70755 and 70771. After we will calculate the factors of 70755 and 70771 and find the biggest common factor number .

Step-1: Prime Factorization of 70755

Prime factors of 70755 are 3, 5, 53, 89. Prime factorization of 70755 in exponential form is:

70755 = 3¹ × 5¹ × 53¹ × 89¹

Step-2: Prime Factorization of 70771

Prime factors of 70771 are 17, 23, 181. Prime factorization of 70771 in exponential form is:

70771 = 17¹ × 23¹ × 181¹

Step-3: Factors of 70755

List of positive integer factors of 70755 that divides 70755 without a remainder.

1, 3, 5, 15, 53, 89, 159, 265, 267, 445, 795, 1335, 4717, 14151, 23585

Step-4: Factors of 70771

List of positive integer factors of 70771 that divides 70755 without a remainder.

1, 17, 23, 181, 391, 3077, 4163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70755 and 70771. The biggest common factor number is the GCF number.
So the greatest common factor 70755 and 70771 is 1.

Also check out the Least Common Multiple of 70755 and 70771