What is the Greatest Common Factor of 80932 and 80940?

Greatest common factor (GCF) of 80932 and 80940 is 4.

GCF(80932,80940) = 4

We will now calculate the prime factors of 80932 and 80940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80932 and 80940.

How to find the GCF of 80932 and 80940?

We will first find the prime factorization of 80932 and 80940. After we will calculate the factors of 80932 and 80940 and find the biggest common factor number .

Step-1: Prime Factorization of 80932

Prime factors of 80932 are 2, 20233. Prime factorization of 80932 in exponential form is:

80932 = 2² × 20233¹

Step-2: Prime Factorization of 80940

Prime factors of 80940 are 2, 3, 5, 19, 71. Prime factorization of 80940 in exponential form is:

80940 = 2² × 3¹ × 5¹ × 19¹ × 71¹

Step-3: Factors of 80932

List of positive integer factors of 80932 that divides 80932 without a remainder.

1, 2, 4, 20233, 40466

Step-4: Factors of 80940

List of positive integer factors of 80940 that divides 80932 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 71, 76, 95, 114, 142, 190, 213, 228, 284, 285, 355, 380, 426, 570, 710, 852, 1065, 1140, 1349, 1420, 2130, 2698, 4047, 4260, 5396, 6745, 8094, 13490, 16188, 20235, 26980, 40470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80932 and 80940. The biggest common factor number is the GCF number.
So the greatest common factor 80932 and 80940 is 4.

Also check out the Least Common Multiple of 80932 and 80940