What is the Greatest Common Factor of 65072 and 65088?

Greatest common factor (GCF) of 65072 and 65088 is 16.

GCF(65072,65088) = 16

We will now calculate the prime factors of 65072 and 65088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65072 and 65088.

How to find the GCF of 65072 and 65088?

We will first find the prime factorization of 65072 and 65088. After we will calculate the factors of 65072 and 65088 and find the biggest common factor number .

Step-1: Prime Factorization of 65072

Prime factors of 65072 are 2, 7, 83. Prime factorization of 65072 in exponential form is:

65072 = 2⁴ × 7² × 83¹

Step-2: Prime Factorization of 65088

Prime factors of 65088 are 2, 3, 113. Prime factorization of 65088 in exponential form is:

65088 = 2⁶ × 3² × 113¹

Step-3: Factors of 65072

List of positive integer factors of 65072 that divides 65072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 83, 98, 112, 166, 196, 332, 392, 581, 664, 784, 1162, 1328, 2324, 4067, 4648, 8134, 9296, 16268, 32536

Step-4: Factors of 65088

List of positive integer factors of 65088 that divides 65072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 113, 144, 192, 226, 288, 339, 452, 576, 678, 904, 1017, 1356, 1808, 2034, 2712, 3616, 4068, 5424, 7232, 8136, 10848, 16272, 21696, 32544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65072 and 65088. The biggest common factor number is the GCF number.
So the greatest common factor 65072 and 65088 is 16.

Also check out the Least Common Multiple of 65072 and 65088