What is the Greatest Common Factor of 65054 and 65072?

Greatest common factor (GCF) of 65054 and 65072 is 2.

GCF(65054,65072) = 2

We will now calculate the prime factors of 65054 and 65072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65054 and 65072.

How to find the GCF of 65054 and 65072?

We will first find the prime factorization of 65054 and 65072. After we will calculate the factors of 65054 and 65072 and find the biggest common factor number .

Step-1: Prime Factorization of 65054

Prime factors of 65054 are 2, 11, 2957. Prime factorization of 65054 in exponential form is:

65054 = 2¹ × 11¹ × 2957¹

Step-2: 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-3: Factors of 65054

List of positive integer factors of 65054 that divides 65054 without a remainder.

1, 2, 11, 22, 2957, 5914, 32527

Step-4: Factors of 65072

List of positive integer factors of 65072 that divides 65054 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65054 and 65072. The biggest common factor number is the GCF number.
So the greatest common factor 65054 and 65072 is 2.

Also check out the Least Common Multiple of 65054 and 65072