What is the Greatest Common Factor of 80738 and 80752?

Greatest common factor (GCF) of 80738 and 80752 is 14.

GCF(80738,80752) = 14

We will now calculate the prime factors of 80738 and 80752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80738 and 80752.

How to find the GCF of 80738 and 80752?

We will first find the prime factorization of 80738 and 80752. After we will calculate the factors of 80738 and 80752 and find the biggest common factor number .

Step-1: Prime Factorization of 80738

Prime factors of 80738 are 2, 7, 73, 79. Prime factorization of 80738 in exponential form is:

80738 = 2¹ × 7¹ × 73¹ × 79¹

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 80738

List of positive integer factors of 80738 that divides 80738 without a remainder.

1, 2, 7, 14, 73, 79, 146, 158, 511, 553, 1022, 1106, 5767, 11534, 40369

Step-4: Factors of 80752

List of positive integer factors of 80752 that divides 80738 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 80738 and 80752. The biggest common factor number is the GCF number.
So the greatest common factor 80738 and 80752 is 14.

Also check out the Least Common Multiple of 80738 and 80752