What is the Greatest Common Factor of 79744 and 79760?

Greatest common factor (GCF) of 79744 and 79760 is 16.

GCF(79744,79760) = 16

We will now calculate the prime factors of 79744 and 79760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79744 and 79760.

How to find the GCF of 79744 and 79760?

We will first find the prime factorization of 79744 and 79760. After we will calculate the factors of 79744 and 79760 and find the biggest common factor number .

Step-1: Prime Factorization of 79744

Prime factors of 79744 are 2, 7, 89. Prime factorization of 79744 in exponential form is:

79744 = 2⁷ × 7¹ × 89¹

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 79744

List of positive integer factors of 79744 that divides 79744 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 89, 112, 128, 178, 224, 356, 448, 623, 712, 896, 1246, 1424, 2492, 2848, 4984, 5696, 9968, 11392, 19936, 39872

Step-4: Factors of 79760

List of positive integer factors of 79760 that divides 79744 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 79744 and 79760. The biggest common factor number is the GCF number.
So the greatest common factor 79744 and 79760 is 16.

Also check out the Least Common Multiple of 79744 and 79760