What is the Greatest Common Factor of 77044 and 77052?

Greatest common factor (GCF) of 77044 and 77052 is 4.

GCF(77044,77052) = 4

We will now calculate the prime factors of 77044 and 77052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77044 and 77052.

How to find the GCF of 77044 and 77052?

We will first find the prime factorization of 77044 and 77052. After we will calculate the factors of 77044 and 77052 and find the biggest common factor number .

Step-1: Prime Factorization of 77044

Prime factors of 77044 are 2, 11, 17, 103. Prime factorization of 77044 in exponential form is:

77044 = 2² × 11¹ × 17¹ × 103¹

Step-2: 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-3: Factors of 77044

List of positive integer factors of 77044 that divides 77044 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 103, 187, 206, 374, 412, 748, 1133, 1751, 2266, 3502, 4532, 7004, 19261, 38522

Step-4: Factors of 77052

List of positive integer factors of 77052 that divides 77044 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77044 and 77052. The biggest common factor number is the GCF number.
So the greatest common factor 77044 and 77052 is 4.

Also check out the Least Common Multiple of 77044 and 77052