What is the Greatest Common Factor of 47759 and 47770?

Greatest common factor (GCF) of 47759 and 47770 is 1.

GCF(47759,47770) = 1

We will now calculate the prime factors of 47759 and 47770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47759 and 47770.

How to find the GCF of 47759 and 47770?

We will first find the prime factorization of 47759 and 47770. After we will calculate the factors of 47759 and 47770 and find the biggest common factor number .

Step-1: Prime Factorization of 47759

Prime factors of 47759 are 163, 293. Prime factorization of 47759 in exponential form is:

47759 = 163¹ × 293¹

Step-2: Prime Factorization of 47770

Prime factors of 47770 are 2, 5, 17, 281. Prime factorization of 47770 in exponential form is:

47770 = 2¹ × 5¹ × 17¹ × 281¹

Step-3: Factors of 47759

List of positive integer factors of 47759 that divides 47759 without a remainder.

1, 163, 293

Step-4: Factors of 47770

List of positive integer factors of 47770 that divides 47759 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 281, 562, 1405, 2810, 4777, 9554, 23885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47759 and 47770. The biggest common factor number is the GCF number.
So the greatest common factor 47759 and 47770 is 1.

Also check out the Least Common Multiple of 47759 and 47770