What is the Greatest Common Factor of 77132 and 77152?

Greatest common factor (GCF) of 77132 and 77152 is 4.

GCF(77132,77152) = 4

We will now calculate the prime factors of 77132 and 77152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77132 and 77152.

How to find the GCF of 77132 and 77152?

We will first find the prime factorization of 77132 and 77152. After we will calculate the factors of 77132 and 77152 and find the biggest common factor number .

Step-1: Prime Factorization of 77132

Prime factors of 77132 are 2, 11, 1753. Prime factorization of 77132 in exponential form is:

77132 = 2² × 11¹ × 1753¹

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 77132

List of positive integer factors of 77132 that divides 77132 without a remainder.

1, 2, 4, 11, 22, 44, 1753, 3506, 7012, 19283, 38566

Step-4: Factors of 77152

List of positive integer factors of 77152 that divides 77132 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 77132 and 77152. The biggest common factor number is the GCF number.
So the greatest common factor 77132 and 77152 is 4.

Also check out the Least Common Multiple of 77132 and 77152