What is the Greatest Common Factor of 65372 and 65390?

Greatest common factor (GCF) of 65372 and 65390 is 2.

GCF(65372,65390) = 2

We will now calculate the prime factors of 65372 and 65390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65372 and 65390.

How to find the GCF of 65372 and 65390?

We will first find the prime factorization of 65372 and 65390. After we will calculate the factors of 65372 and 65390 and find the biggest common factor number .

Step-1: Prime Factorization of 65372

Prime factors of 65372 are 2, 59, 277. Prime factorization of 65372 in exponential form is:

65372 = 2² × 59¹ × 277¹

Step-2: Prime Factorization of 65390

Prime factors of 65390 are 2, 5, 13, 503. Prime factorization of 65390 in exponential form is:

65390 = 2¹ × 5¹ × 13¹ × 503¹

Step-3: Factors of 65372

List of positive integer factors of 65372 that divides 65372 without a remainder.

1, 2, 4, 59, 118, 236, 277, 554, 1108, 16343, 32686

Step-4: Factors of 65390

List of positive integer factors of 65390 that divides 65372 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 503, 1006, 2515, 5030, 6539, 13078, 32695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65372 and 65390. The biggest common factor number is the GCF number.
So the greatest common factor 65372 and 65390 is 2.

Also check out the Least Common Multiple of 65372 and 65390