What is the Greatest Common Factor of 79320 and 79338?

Greatest common factor (GCF) of 79320 and 79338 is 6.

GCF(79320,79338) = 6

We will now calculate the prime factors of 79320 and 79338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79320 and 79338.

How to find the GCF of 79320 and 79338?

We will first find the prime factorization of 79320 and 79338. After we will calculate the factors of 79320 and 79338 and find the biggest common factor number .

Step-1: Prime Factorization of 79320

Prime factors of 79320 are 2, 3, 5, 661. Prime factorization of 79320 in exponential form is:

79320 = 2³ × 3¹ × 5¹ × 661¹

Step-2: Prime Factorization of 79338

Prime factors of 79338 are 2, 3, 7, 1889. Prime factorization of 79338 in exponential form is:

79338 = 2¹ × 3¹ × 7¹ × 1889¹

Step-3: Factors of 79320

List of positive integer factors of 79320 that divides 79320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 661, 1322, 1983, 2644, 3305, 3966, 5288, 6610, 7932, 9915, 13220, 15864, 19830, 26440, 39660

Step-4: Factors of 79338

List of positive integer factors of 79338 that divides 79320 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1889, 3778, 5667, 11334, 13223, 26446, 39669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79320 and 79338. The biggest common factor number is the GCF number.
So the greatest common factor 79320 and 79338 is 6.

Also check out the Least Common Multiple of 79320 and 79338