What is the Greatest Common Factor of 77052 and 77068?

Greatest common factor (GCF) of 77052 and 77068 is 4.

GCF(77052,77068) = 4

We will now calculate the prime factors of 77052 and 77068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77052 and 77068.

How to find the GCF of 77052 and 77068?

We will first find the prime factorization of 77052 and 77068. After we will calculate the factors of 77052 and 77068 and find the biggest common factor number .

Step-1: Prime Factorization of 77052

Prime factors of 77052 are 2, 3, 6421. Prime factorization of 77052 in exponential form is:

77052 = 2² × 3¹ × 6421¹

Step-2: Prime Factorization of 77068

Prime factors of 77068 are 2, 19267. Prime factorization of 77068 in exponential form is:

77068 = 2² × 19267¹

Step-3: Factors of 77052

List of positive integer factors of 77052 that divides 77052 without a remainder.

1, 2, 3, 4, 6, 12, 6421, 12842, 19263, 25684, 38526

Step-4: Factors of 77068

List of positive integer factors of 77068 that divides 77052 without a remainder.

1, 2, 4, 19267, 38534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77052 and 77068. The biggest common factor number is the GCF number.
So the greatest common factor 77052 and 77068 is 4.

Also check out the Least Common Multiple of 77052 and 77068