What is the Greatest Common Factor of 65026 and 65039?

Greatest common factor (GCF) of 65026 and 65039 is 13.

GCF(65026,65039) = 13

We will now calculate the prime factors of 65026 and 65039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65026 and 65039.

How to find the GCF of 65026 and 65039?

We will first find the prime factorization of 65026 and 65039. After we will calculate the factors of 65026 and 65039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65039

Prime factors of 65039 are 13, 5003. Prime factorization of 65039 in exponential form is:

65039 = 13¹ × 5003¹

Step-3: Factors of 65026

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

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

Step-4: Factors of 65039

List of positive integer factors of 65039 that divides 65026 without a remainder.

1, 13, 5003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65026 and 65039. The biggest common factor number is the GCF number.
So the greatest common factor 65026 and 65039 is 13.

Also check out the Least Common Multiple of 65026 and 65039