What is the Greatest Common Factor of 77148 and 77152?

Greatest common factor (GCF) of 77148 and 77152 is 4.

GCF(77148,77152) = 4

We will now calculate the prime factors of 77148 and 77152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77148 and 77152.

How to find the GCF of 77148 and 77152?

We will first find the prime factorization of 77148 and 77152. After we will calculate the factors of 77148 and 77152 and find the biggest common factor number .

Step-1: Prime Factorization of 77148

Prime factors of 77148 are 2, 3, 2143. Prime factorization of 77148 in exponential form is:

77148 = 2² × 3² × 2143¹

Step-2: Prime Factorization of 77152

Prime factors of 77152 are 2, 2411. Prime factorization of 77152 in exponential form is:

77152 = 2⁵ × 2411¹

Step-3: Factors of 77148

List of positive integer factors of 77148 that divides 77148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2143, 4286, 6429, 8572, 12858, 19287, 25716, 38574

Step-4: Factors of 77152

List of positive integer factors of 77152 that divides 77148 without a remainder.

1, 2, 4, 8, 16, 32, 2411, 4822, 9644, 19288, 38576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77148 and 77152. The biggest common factor number is the GCF number.
So the greatest common factor 77148 and 77152 is 4.

Also check out the Least Common Multiple of 77148 and 77152