What is the Greatest Common Factor of 65270 and 65290?

Greatest common factor (GCF) of 65270 and 65290 is 10.

GCF(65270,65290) = 10

We will now calculate the prime factors of 65270 and 65290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65270 and 65290.

How to find the GCF of 65270 and 65290?

We will first find the prime factorization of 65270 and 65290. After we will calculate the factors of 65270 and 65290 and find the biggest common factor number .

Step-1: Prime Factorization of 65270

Prime factors of 65270 are 2, 5, 61, 107. Prime factorization of 65270 in exponential form is:

65270 = 2¹ × 5¹ × 61¹ × 107¹

Step-2: Prime Factorization of 65290

Prime factors of 65290 are 2, 5, 6529. Prime factorization of 65290 in exponential form is:

65290 = 2¹ × 5¹ × 6529¹

Step-3: Factors of 65270

List of positive integer factors of 65270 that divides 65270 without a remainder.

1, 2, 5, 10, 61, 107, 122, 214, 305, 535, 610, 1070, 6527, 13054, 32635

Step-4: Factors of 65290

List of positive integer factors of 65290 that divides 65270 without a remainder.

1, 2, 5, 10, 6529, 13058, 32645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65270 and 65290. The biggest common factor number is the GCF number.
So the greatest common factor 65270 and 65290 is 10.

Also check out the Least Common Multiple of 65270 and 65290