What is the Greatest Common Factor of 64090 and 64103?

Greatest common factor (GCF) of 64090 and 64103 is 13.

GCF(64090,64103) = 13

We will now calculate the prime factors of 64090 and 64103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64090 and 64103.

How to find the GCF of 64090 and 64103?

We will first find the prime factorization of 64090 and 64103. After we will calculate the factors of 64090 and 64103 and find the biggest common factor number .

Step-1: Prime Factorization of 64090

Prime factors of 64090 are 2, 5, 13, 17, 29. Prime factorization of 64090 in exponential form is:

64090 = 2¹ × 5¹ × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 64103

Prime factors of 64103 are 13, 4931. Prime factorization of 64103 in exponential form is:

64103 = 13¹ × 4931¹

Step-3: Factors of 64090

List of positive integer factors of 64090 that divides 64090 without a remainder.

1, 2, 5, 10, 13, 17, 26, 29, 34, 58, 65, 85, 130, 145, 170, 221, 290, 377, 442, 493, 754, 986, 1105, 1885, 2210, 2465, 3770, 4930, 6409, 12818, 32045

Step-4: Factors of 64103

List of positive integer factors of 64103 that divides 64090 without a remainder.

1, 13, 4931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64090 and 64103. The biggest common factor number is the GCF number.
So the greatest common factor 64090 and 64103 is 13.

Also check out the Least Common Multiple of 64090 and 64103