What is the Greatest Common Factor of 80745 and 80752?

Greatest common factor (GCF) of 80745 and 80752 is 7.

GCF(80745,80752) = 7

We will now calculate the prime factors of 80745 and 80752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80745 and 80752.

How to find the GCF of 80745 and 80752?

We will first find the prime factorization of 80745 and 80752. After we will calculate the factors of 80745 and 80752 and find the biggest common factor number .

Step-1: Prime Factorization of 80745

Prime factors of 80745 are 3, 5, 7, 769. Prime factorization of 80745 in exponential form is:

80745 = 3¹ × 5¹ × 7¹ × 769¹

Step-2: Prime Factorization of 80752

Prime factors of 80752 are 2, 7, 103. Prime factorization of 80752 in exponential form is:

80752 = 2⁴ × 7² × 103¹

Step-3: Factors of 80745

List of positive integer factors of 80745 that divides 80745 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 769, 2307, 3845, 5383, 11535, 16149, 26915

Step-4: Factors of 80752

List of positive integer factors of 80752 that divides 80745 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 103, 112, 196, 206, 392, 412, 721, 784, 824, 1442, 1648, 2884, 5047, 5768, 10094, 11536, 20188, 40376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80745 and 80752. The biggest common factor number is the GCF number.
So the greatest common factor 80745 and 80752 is 7.

Also check out the Least Common Multiple of 80745 and 80752