What is the Greatest Common Factor of 53270 and 53290?

Greatest common factor (GCF) of 53270 and 53290 is 10.

GCF(53270,53290) = 10

We will now calculate the prime factors of 53270 and 53290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53270 and 53290.

How to find the GCF of 53270 and 53290?

We will first find the prime factorization of 53270 and 53290. After we will calculate the factors of 53270 and 53290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53290

Prime factors of 53290 are 2, 5, 73. Prime factorization of 53290 in exponential form is:

53290 = 2¹ × 5¹ × 73²

Step-3: Factors of 53270

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

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

Step-4: Factors of 53290

List of positive integer factors of 53290 that divides 53270 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730, 5329, 10658, 26645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53270 and 53290. The biggest common factor number is the GCF number.
So the greatest common factor 53270 and 53290 is 10.

Also check out the Least Common Multiple of 53270 and 53290