What is the Greatest Common Factor of 77538 and 77553?

Greatest common factor (GCF) of 77538 and 77553 is 3.

GCF(77538,77553) = 3

We will now calculate the prime factors of 77538 and 77553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77538 and 77553.

How to find the GCF of 77538 and 77553?

We will first find the prime factorization of 77538 and 77553. After we will calculate the factors of 77538 and 77553 and find the biggest common factor number .

Step-1: Prime Factorization of 77538

Prime factors of 77538 are 2, 3, 12923. Prime factorization of 77538 in exponential form is:

77538 = 2¹ × 3¹ × 12923¹

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 77538

List of positive integer factors of 77538 that divides 77538 without a remainder.

1, 2, 3, 6, 12923, 25846, 38769

Step-4: Factors of 77553

List of positive integer factors of 77553 that divides 77538 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 77538 and 77553. The biggest common factor number is the GCF number.
So the greatest common factor 77538 and 77553 is 3.

Also check out the Least Common Multiple of 77538 and 77553