What is the Greatest Common Factor of 79338 and 79355?

Greatest common factor (GCF) of 79338 and 79355 is 1.

GCF(79338,79355) = 1

We will now calculate the prime factors of 79338 and 79355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79338 and 79355.

How to find the GCF of 79338 and 79355?

We will first find the prime factorization of 79338 and 79355. After we will calculate the factors of 79338 and 79355 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79355

Prime factors of 79355 are 5, 59, 269. Prime factorization of 79355 in exponential form is:

79355 = 5¹ × 59¹ × 269¹

Step-3: Factors of 79338

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

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

Step-4: Factors of 79355

List of positive integer factors of 79355 that divides 79338 without a remainder.

1, 5, 59, 269, 295, 1345, 15871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79338 and 79355. The biggest common factor number is the GCF number.
So the greatest common factor 79338 and 79355 is 1.

Also check out the Least Common Multiple of 79338 and 79355