What is the Greatest Common Factor of 77539 and 77553?

Greatest common factor (GCF) of 77539 and 77553 is 7.

GCF(77539,77553) = 7

We will now calculate the prime factors of 77539 and 77553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77539 and 77553.

How to find the GCF of 77539 and 77553?

We will first find the prime factorization of 77539 and 77553. After we will calculate the factors of 77539 and 77553 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 77553

Prime factors of 77553 are 3, 7, 1231. Prime factorization of 77553 in exponential form is:

77553 = 3² × 7¹ × 1231¹

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 77553

List of positive integer factors of 77553 that divides 77539 without a remainder.

1, 3, 7, 9, 21, 63, 1231, 3693, 8617, 11079, 25851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77539 and 77553. The biggest common factor number is the GCF number.
So the greatest common factor 77539 and 77553 is 7.

Also check out the Least Common Multiple of 77539 and 77553