What is the Greatest Common Factor of 80740 and 80745?

Greatest common factor (GCF) of 80740 and 80745 is 5.

GCF(80740,80745) = 5

We will now calculate the prime factors of 80740 and 80745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80740 and 80745.

How to find the GCF of 80740 and 80745?

We will first find the prime factorization of 80740 and 80745. After we will calculate the factors of 80740 and 80745 and find the biggest common factor number .

Step-1: Prime Factorization of 80740

Prime factors of 80740 are 2, 5, 11, 367. Prime factorization of 80740 in exponential form is:

80740 = 2² × 5¹ × 11¹ × 367¹

Step-2: 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-3: Factors of 80740

List of positive integer factors of 80740 that divides 80740 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 367, 734, 1468, 1835, 3670, 4037, 7340, 8074, 16148, 20185, 40370

Step-4: Factors of 80745

List of positive integer factors of 80745 that divides 80740 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80740 and 80745. The biggest common factor number is the GCF number.
So the greatest common factor 80740 and 80745 is 5.

Also check out the Least Common Multiple of 80740 and 80745