What is the Greatest Common Factor of 65006 and 65026?

Greatest common factor (GCF) of 65006 and 65026 is 2.

GCF(65006,65026) = 2

We will now calculate the prime factors of 65006 and 65026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65006 and 65026.

How to find the GCF of 65006 and 65026?

We will first find the prime factorization of 65006 and 65026. After we will calculate the factors of 65006 and 65026 and find the biggest common factor number .

Step-1: Prime Factorization of 65006

Prime factors of 65006 are 2, 32503. Prime factorization of 65006 in exponential form is:

65006 = 2¹ × 32503¹

Step-2: Prime Factorization of 65026

Prime factors of 65026 are 2, 13, 41, 61. Prime factorization of 65026 in exponential form is:

65026 = 2¹ × 13¹ × 41¹ × 61¹

Step-3: Factors of 65006

List of positive integer factors of 65006 that divides 65006 without a remainder.

1, 2, 32503

Step-4: Factors of 65026

List of positive integer factors of 65026 that divides 65006 without a remainder.

1, 2, 13, 26, 41, 61, 82, 122, 533, 793, 1066, 1586, 2501, 5002, 32513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65006 and 65026. The biggest common factor number is the GCF number.
So the greatest common factor 65006 and 65026 is 2.

Also check out the Least Common Multiple of 65006 and 65026