What is the Greatest Common Factor of 65076 and 65087?

Greatest common factor (GCF) of 65076 and 65087 is 11.

GCF(65076,65087) = 11

We will now calculate the prime factors of 65076 and 65087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65076 and 65087.

How to find the GCF of 65076 and 65087?

We will first find the prime factorization of 65076 and 65087. After we will calculate the factors of 65076 and 65087 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65087

Prime factors of 65087 are 11, 61, 97. Prime factorization of 65087 in exponential form is:

65087 = 11¹ × 61¹ × 97¹

Step-3: Factors of 65076

List of positive integer factors of 65076 that divides 65076 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

Step-4: Factors of 65087

List of positive integer factors of 65087 that divides 65076 without a remainder.

1, 11, 61, 97, 671, 1067, 5917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65076 and 65087. The biggest common factor number is the GCF number.
So the greatest common factor 65076 and 65087 is 11.

Also check out the Least Common Multiple of 65076 and 65087