What is the Greatest Common Factor of 77257 and 77263?

Greatest common factor (GCF) of 77257 and 77263 is 1.

GCF(77257,77263) = 1

We will now calculate the prime factors of 77257 and 77263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77257 and 77263.

How to find the GCF of 77257 and 77263?

We will first find the prime factorization of 77257 and 77263. After we will calculate the factors of 77257 and 77263 and find the biggest common factor number .

Step-1: Prime Factorization of 77257

Prime factors of 77257 are 23, 3359. Prime factorization of 77257 in exponential form is:

77257 = 23¹ × 3359¹

Step-2: Prime Factorization of 77263

Prime factors of 77263 are 77263. Prime factorization of 77263 in exponential form is:

77263 = 77263¹

Step-3: Factors of 77257

List of positive integer factors of 77257 that divides 77257 without a remainder.

1, 23, 3359

Step-4: Factors of 77263

List of positive integer factors of 77263 that divides 77257 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77257 and 77263. The biggest common factor number is the GCF number.
So the greatest common factor 77257 and 77263 is 1.

Also check out the Least Common Multiple of 77257 and 77263