What is the Greatest Common Factor of 79458 and 79467?

Greatest common factor (GCF) of 79458 and 79467 is 3.

GCF(79458,79467) = 3

We will now calculate the prime factors of 79458 and 79467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79458 and 79467.

How to find the GCF of 79458 and 79467?

We will first find the prime factorization of 79458 and 79467. After we will calculate the factors of 79458 and 79467 and find the biggest common factor number .

Step-1: Prime Factorization of 79458

Prime factors of 79458 are 2, 3, 17, 19, 41. Prime factorization of 79458 in exponential form is:

79458 = 2¹ × 3¹ × 17¹ × 19¹ × 41¹

Step-2: Prime Factorization of 79467

Prime factors of 79467 are 3, 26489. Prime factorization of 79467 in exponential form is:

79467 = 3¹ × 26489¹

Step-3: Factors of 79458

List of positive integer factors of 79458 that divides 79458 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 41, 51, 57, 82, 102, 114, 123, 246, 323, 646, 697, 779, 969, 1394, 1558, 1938, 2091, 2337, 4182, 4674, 13243, 26486, 39729

Step-4: Factors of 79467

List of positive integer factors of 79467 that divides 79458 without a remainder.

1, 3, 26489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79458 and 79467. The biggest common factor number is the GCF number.
So the greatest common factor 79458 and 79467 is 3.

Also check out the Least Common Multiple of 79458 and 79467