What is the Greatest Common Factor of 30260 and 30270?

Greatest common factor (GCF) of 30260 and 30270 is 10.

GCF(30260,30270) = 10

We will now calculate the prime factors of 30260 and 30270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30260 and 30270.

How to find the GCF of 30260 and 30270?

We will first find the prime factorization of 30260 and 30270. After we will calculate the factors of 30260 and 30270 and find the biggest common factor number .

Step-1: Prime Factorization of 30260

Prime factors of 30260 are 2, 5, 17, 89. Prime factorization of 30260 in exponential form is:

30260 = 2² × 5¹ × 17¹ × 89¹

Step-2: Prime Factorization of 30270

Prime factors of 30270 are 2, 3, 5, 1009. Prime factorization of 30270 in exponential form is:

30270 = 2¹ × 3¹ × 5¹ × 1009¹

Step-3: Factors of 30260

List of positive integer factors of 30260 that divides 30260 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 89, 170, 178, 340, 356, 445, 890, 1513, 1780, 3026, 6052, 7565, 15130

Step-4: Factors of 30270

List of positive integer factors of 30270 that divides 30260 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1009, 2018, 3027, 5045, 6054, 10090, 15135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30260 and 30270. The biggest common factor number is the GCF number.
So the greatest common factor 30260 and 30270 is 10.

Also check out the Least Common Multiple of 30260 and 30270