What is the Greatest Common Factor of 76532 and 76552?

Greatest common factor (GCF) of 76532 and 76552 is 4.

GCF(76532,76552) = 4

We will now calculate the prime factors of 76532 and 76552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76532 and 76552.

How to find the GCF of 76532 and 76552?

We will first find the prime factorization of 76532 and 76552. After we will calculate the factors of 76532 and 76552 and find the biggest common factor number .

Step-1: Prime Factorization of 76532

Prime factors of 76532 are 2, 19, 53. Prime factorization of 76532 in exponential form is:

76532 = 2² × 19² × 53¹

Step-2: Prime Factorization of 76552

Prime factors of 76552 are 2, 7, 1367. Prime factorization of 76552 in exponential form is:

76552 = 2³ × 7¹ × 1367¹

Step-3: Factors of 76532

List of positive integer factors of 76532 that divides 76532 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 361, 722, 1007, 1444, 2014, 4028, 19133, 38266

Step-4: Factors of 76552

List of positive integer factors of 76552 that divides 76532 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1367, 2734, 5468, 9569, 10936, 19138, 38276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76532 and 76552. The biggest common factor number is the GCF number.
So the greatest common factor 76532 and 76552 is 4.

Also check out the Least Common Multiple of 76532 and 76552