What is the Greatest Common Factor of 65072 and 65076?

Greatest common factor (GCF) of 65072 and 65076 is 4.

GCF(65072,65076) = 4

We will now calculate the prime factors of 65072 and 65076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65072 and 65076.

How to find the GCF of 65072 and 65076?

We will first find the prime factorization of 65072 and 65076. After we will calculate the factors of 65072 and 65076 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 65076

Prime factors of 65076 are 2, 3, 11, 17, 29. Prime factorization of 65076 in exponential form is:

65076 = 2² × 3¹ × 11¹ × 17¹ × 29¹

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 65076

List of positive integer factors of 65076 that divides 65072 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 29, 33, 34, 44, 51, 58, 66, 68, 87, 102, 116, 132, 174, 187, 204, 319, 348, 374, 493, 561, 638, 748, 957, 986, 1122, 1276, 1479, 1914, 1972, 2244, 2958, 3828, 5423, 5916, 10846, 16269, 21692, 32538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65072 and 65076. The biggest common factor number is the GCF number.
So the greatest common factor 65072 and 65076 is 4.

Also check out the Least Common Multiple of 65072 and 65076