What is the Greatest Common Factor of 65072 and 65090?

Greatest common factor (GCF) of 65072 and 65090 is 2.

GCF(65072,65090) = 2

We will now calculate the prime factors of 65072 and 65090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65072 and 65090.

How to find the GCF of 65072 and 65090?

We will first find the prime factorization of 65072 and 65090. After we will calculate the factors of 65072 and 65090 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 65090

Prime factors of 65090 are 2, 5, 23, 283. Prime factorization of 65090 in exponential form is:

65090 = 2¹ × 5¹ × 23¹ × 283¹

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 65090

List of positive integer factors of 65090 that divides 65072 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 283, 566, 1415, 2830, 6509, 13018, 32545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65072 and 65090. The biggest common factor number is the GCF number.
So the greatest common factor 65072 and 65090 is 2.

Also check out the Least Common Multiple of 65072 and 65090