What is the Greatest Common Factor of 80738 and 80754?

Greatest common factor (GCF) of 80738 and 80754 is 2.

GCF(80738,80754) = 2

We will now calculate the prime factors of 80738 and 80754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80738 and 80754.

How to find the GCF of 80738 and 80754?

We will first find the prime factorization of 80738 and 80754. After we will calculate the factors of 80738 and 80754 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 80754

Prime factors of 80754 are 2, 3, 43, 313. Prime factorization of 80754 in exponential form is:

80754 = 2¹ × 3¹ × 43¹ × 313¹

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 80754

List of positive integer factors of 80754 that divides 80738 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 313, 626, 939, 1878, 13459, 26918, 40377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80738 and 80754. The biggest common factor number is the GCF number.
So the greatest common factor 80738 and 80754 is 2.

Also check out the Least Common Multiple of 80738 and 80754