What is the Greatest Common Factor of 79872 and 79879?

Greatest common factor (GCF) of 79872 and 79879 is 1.

GCF(79872,79879) = 1

We will now calculate the prime factors of 79872 and 79879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79872 and 79879.

How to find the GCF of 79872 and 79879?

We will first find the prime factorization of 79872 and 79879. After we will calculate the factors of 79872 and 79879 and find the biggest common factor number .

Step-1: Prime Factorization of 79872

Prime factors of 79872 are 2, 3, 13. Prime factorization of 79872 in exponential form is:

79872 = 2¹¹ × 3¹ × 13¹

Step-2: Prime Factorization of 79879

Prime factors of 79879 are 23, 151. Prime factorization of 79879 in exponential form is:

79879 = 23² × 151¹

Step-3: Factors of 79872

List of positive integer factors of 79872 that divides 79872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 512, 624, 768, 832, 1024, 1248, 1536, 1664, 2048, 2496, 3072, 3328, 4992, 6144, 6656, 9984, 13312, 19968, 26624, 39936

Step-4: Factors of 79879

List of positive integer factors of 79879 that divides 79872 without a remainder.

1, 23, 151, 529, 3473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79872 and 79879. The biggest common factor number is the GCF number.
So the greatest common factor 79872 and 79879 is 1.

Also check out the Least Common Multiple of 79872 and 79879