What is the Greatest Common Factor of 80260 and 80270?

Greatest common factor (GCF) of 80260 and 80270 is 10.

GCF(80260,80270) = 10

We will now calculate the prime factors of 80260 and 80270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80260 and 80270.

How to find the GCF of 80260 and 80270?

We will first find the prime factorization of 80260 and 80270. After we will calculate the factors of 80260 and 80270 and find the biggest common factor number .

Step-1: Prime Factorization of 80260

Prime factors of 80260 are 2, 5, 4013. Prime factorization of 80260 in exponential form is:

80260 = 2² × 5¹ × 4013¹

Step-2: Prime Factorization of 80270

Prime factors of 80270 are 2, 5, 23, 349. Prime factorization of 80270 in exponential form is:

80270 = 2¹ × 5¹ × 23¹ × 349¹

Step-3: Factors of 80260

List of positive integer factors of 80260 that divides 80260 without a remainder.

1, 2, 4, 5, 10, 20, 4013, 8026, 16052, 20065, 40130

Step-4: Factors of 80270

List of positive integer factors of 80270 that divides 80260 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 349, 698, 1745, 3490, 8027, 16054, 40135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80260 and 80270. The biggest common factor number is the GCF number.
So the greatest common factor 80260 and 80270 is 10.

Also check out the Least Common Multiple of 80260 and 80270