What is the Greatest Common Factor of 80722 and 80738?

Greatest common factor (GCF) of 80722 and 80738 is 2.

GCF(80722,80738) = 2

We will now calculate the prime factors of 80722 and 80738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80722 and 80738.

How to find the GCF of 80722 and 80738?

We will first find the prime factorization of 80722 and 80738. After we will calculate the factors of 80722 and 80738 and find the biggest common factor number .

Step-1: Prime Factorization of 80722

Prime factors of 80722 are 2, 40361. Prime factorization of 80722 in exponential form is:

80722 = 2¹ × 40361¹

Step-2: 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-3: Factors of 80722

List of positive integer factors of 80722 that divides 80722 without a remainder.

1, 2, 40361

Step-4: Factors of 80738

List of positive integer factors of 80738 that divides 80722 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80722 and 80738. The biggest common factor number is the GCF number.
So the greatest common factor 80722 and 80738 is 2.

Also check out the Least Common Multiple of 80722 and 80738