What is the Greatest Common Factor of 65072 and 65086?

Greatest common factor (GCF) of 65072 and 65086 is 14.

GCF(65072,65086) = 14

We will now calculate the prime factors of 65072 and 65086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65072 and 65086.

How to find the GCF of 65072 and 65086?

We will first find the prime factorization of 65072 and 65086. After we will calculate the factors of 65072 and 65086 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 65086

Prime factors of 65086 are 2, 7, 4649. Prime factorization of 65086 in exponential form is:

65086 = 2¹ × 7¹ × 4649¹

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 65086

List of positive integer factors of 65086 that divides 65072 without a remainder.

1, 2, 7, 14, 4649, 9298, 32543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65072 and 65086. The biggest common factor number is the GCF number.
So the greatest common factor 65072 and 65086 is 14.

Also check out the Least Common Multiple of 65072 and 65086