What is the Greatest Common Factor of 77539 and 77548?

Greatest common factor (GCF) of 77539 and 77548 is 1.

GCF(77539,77548) = 1

We will now calculate the prime factors of 77539 and 77548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77539 and 77548.

How to find the GCF of 77539 and 77548?

We will first find the prime factorization of 77539 and 77548. After we will calculate the factors of 77539 and 77548 and find the biggest common factor number .

Step-1: Prime Factorization of 77539

Prime factors of 77539 are 7, 11, 19, 53. Prime factorization of 77539 in exponential form is:

77539 = 7¹ × 11¹ × 19¹ × 53¹

Step-2: Prime Factorization of 77548

Prime factors of 77548 are 2, 19387. Prime factorization of 77548 in exponential form is:

77548 = 2² × 19387¹

Step-3: Factors of 77539

List of positive integer factors of 77539 that divides 77539 without a remainder.

1, 7, 11, 19, 53, 77, 133, 209, 371, 583, 1007, 1463, 4081, 7049, 11077

Step-4: Factors of 77548

List of positive integer factors of 77548 that divides 77539 without a remainder.

1, 2, 4, 19387, 38774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77539 and 77548. The biggest common factor number is the GCF number.
So the greatest common factor 77539 and 77548 is 1.

Also check out the Least Common Multiple of 77539 and 77548