What is the Greatest Common Factor of 80738 and 80755?

Greatest common factor (GCF) of 80738 and 80755 is 1.

GCF(80738,80755) = 1

We will now calculate the prime factors of 80738 and 80755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80738 and 80755.

How to find the GCF of 80738 and 80755?

We will first find the prime factorization of 80738 and 80755. After we will calculate the factors of 80738 and 80755 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 80755

Prime factors of 80755 are 5, 31, 521. Prime factorization of 80755 in exponential form is:

80755 = 5¹ × 31¹ × 521¹

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 80755

List of positive integer factors of 80755 that divides 80738 without a remainder.

1, 5, 31, 155, 521, 2605, 16151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80738 and 80755. The biggest common factor number is the GCF number.
So the greatest common factor 80738 and 80755 is 1.

Also check out the Least Common Multiple of 80738 and 80755