What is the Greatest Common Factor of 53260 and 53270?

Greatest common factor (GCF) of 53260 and 53270 is 10.

GCF(53260,53270) = 10

We will now calculate the prime factors of 53260 and 53270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53260 and 53270.

How to find the GCF of 53260 and 53270?

We will first find the prime factorization of 53260 and 53270. After we will calculate the factors of 53260 and 53270 and find the biggest common factor number .

Step-1: Prime Factorization of 53260

Prime factors of 53260 are 2, 5, 2663. Prime factorization of 53260 in exponential form is:

53260 = 2² × 5¹ × 2663¹

Step-2: Prime Factorization of 53270

Prime factors of 53270 are 2, 5, 7, 761. Prime factorization of 53270 in exponential form is:

53270 = 2¹ × 5¹ × 7¹ × 761¹

Step-3: Factors of 53260

List of positive integer factors of 53260 that divides 53260 without a remainder.

1, 2, 4, 5, 10, 20, 2663, 5326, 10652, 13315, 26630

Step-4: Factors of 53270

List of positive integer factors of 53270 that divides 53260 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 761, 1522, 3805, 5327, 7610, 10654, 26635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53260 and 53270. The biggest common factor number is the GCF number.
So the greatest common factor 53260 and 53270 is 10.

Also check out the Least Common Multiple of 53260 and 53270