What is the Greatest Common Factor of 7792 and 7810?

Greatest common factor (GCF) of 7792 and 7810 is 2.

GCF(7792,7810) = 2

We will now calculate the prime factors of 7792 and 7810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7792 and 7810.

How to find the GCF of 7792 and 7810?

We will first find the prime factorization of 7792 and 7810. After we will calculate the factors of 7792 and 7810 and find the biggest common factor number .

Step-1: Prime Factorization of 7792

Prime factors of 7792 are 2, 487. Prime factorization of 7792 in exponential form is:

7792 = 2⁴ × 487¹

Step-2: Prime Factorization of 7810

Prime factors of 7810 are 2, 5, 11, 71. Prime factorization of 7810 in exponential form is:

7810 = 2¹ × 5¹ × 11¹ × 71¹

Step-3: Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1, 2, 4, 8, 16, 487, 974, 1948, 3896

Step-4: Factors of 7810

List of positive integer factors of 7810 that divides 7792 without a remainder.

1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7792 and 7810. The biggest common factor number is the GCF number.
So the greatest common factor 7792 and 7810 is 2.

Also check out the Least Common Multiple of 7792 and 7810