What is the Greatest Common Factor of 79422 and 79434?

Greatest common factor (GCF) of 79422 and 79434 is 6.

GCF(79422,79434) = 6

We will now calculate the prime factors of 79422 and 79434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79422 and 79434.

How to find the GCF of 79422 and 79434?

We will first find the prime factorization of 79422 and 79434. After we will calculate the factors of 79422 and 79434 and find the biggest common factor number .

Step-1: Prime Factorization of 79422

Prime factors of 79422 are 2, 3, 7, 31, 61. Prime factorization of 79422 in exponential form is:

79422 = 2¹ × 3¹ × 7¹ × 31¹ × 61¹

Step-2: Prime Factorization of 79434

Prime factors of 79434 are 2, 3, 1471. Prime factorization of 79434 in exponential form is:

79434 = 2¹ × 3³ × 1471¹

Step-3: Factors of 79422

List of positive integer factors of 79422 that divides 79422 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 61, 62, 93, 122, 183, 186, 217, 366, 427, 434, 651, 854, 1281, 1302, 1891, 2562, 3782, 5673, 11346, 13237, 26474, 39711

Step-4: Factors of 79434

List of positive integer factors of 79434 that divides 79422 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1471, 2942, 4413, 8826, 13239, 26478, 39717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79422 and 79434. The biggest common factor number is the GCF number.
So the greatest common factor 79422 and 79434 is 6.

Also check out the Least Common Multiple of 79422 and 79434