What is the Greatest Common Factor of 79746 and 79760?

Greatest common factor (GCF) of 79746 and 79760 is 2.

GCF(79746,79760) = 2

We will now calculate the prime factors of 79746 and 79760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79746 and 79760.

How to find the GCF of 79746 and 79760?

We will first find the prime factorization of 79746 and 79760. After we will calculate the factors of 79746 and 79760 and find the biggest common factor number .

Step-1: Prime Factorization of 79746

Prime factors of 79746 are 2, 3, 13291. Prime factorization of 79746 in exponential form is:

79746 = 2¹ × 3¹ × 13291¹

Step-2: Prime Factorization of 79760

Prime factors of 79760 are 2, 5, 997. Prime factorization of 79760 in exponential form is:

79760 = 2⁴ × 5¹ × 997¹

Step-3: Factors of 79746

List of positive integer factors of 79746 that divides 79746 without a remainder.

1, 2, 3, 6, 13291, 26582, 39873

Step-4: Factors of 79760

List of positive integer factors of 79760 that divides 79746 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 997, 1994, 3988, 4985, 7976, 9970, 15952, 19940, 39880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79746 and 79760. The biggest common factor number is the GCF number.
So the greatest common factor 79746 and 79760 is 2.

Also check out the Least Common Multiple of 79746 and 79760