What is the Greatest Common Factor of 65905 and 65920?

Greatest common factor (GCF) of 65905 and 65920 is 5.

GCF(65905,65920) = 5

We will now calculate the prime factors of 65905 and 65920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65905 and 65920.

How to find the GCF of 65905 and 65920?

We will first find the prime factorization of 65905 and 65920. After we will calculate the factors of 65905 and 65920 and find the biggest common factor number .

Step-1: Prime Factorization of 65905

Prime factors of 65905 are 5, 7, 269. Prime factorization of 65905 in exponential form is:

65905 = 5¹ × 7² × 269¹

Step-2: Prime Factorization of 65920

Prime factors of 65920 are 2, 5, 103. Prime factorization of 65920 in exponential form is:

65920 = 2⁷ × 5¹ × 103¹

Step-3: Factors of 65905

List of positive integer factors of 65905 that divides 65905 without a remainder.

1, 5, 7, 35, 49, 245, 269, 1345, 1883, 9415, 13181

Step-4: Factors of 65920

List of positive integer factors of 65920 that divides 65905 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 103, 128, 160, 206, 320, 412, 515, 640, 824, 1030, 1648, 2060, 3296, 4120, 6592, 8240, 13184, 16480, 32960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65905 and 65920. The biggest common factor number is the GCF number.
So the greatest common factor 65905 and 65920 is 5.

Also check out the Least Common Multiple of 65905 and 65920