What is the Greatest Common Factor of 79069 and 79074?

Greatest common factor (GCF) of 79069 and 79074 is 1.

GCF(79069,79074) = 1

We will now calculate the prime factors of 79069 and 79074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79069 and 79074.

How to find the GCF of 79069 and 79074?

We will first find the prime factorization of 79069 and 79074. After we will calculate the factors of 79069 and 79074 and find the biggest common factor number .

Step-1: Prime Factorization of 79069

Prime factors of 79069 are 37, 2137. Prime factorization of 79069 in exponential form is:

79069 = 37¹ × 2137¹

Step-2: Prime Factorization of 79074

Prime factors of 79074 are 2, 3, 23, 191. Prime factorization of 79074 in exponential form is:

79074 = 2¹ × 3² × 23¹ × 191¹

Step-3: Factors of 79069

List of positive integer factors of 79069 that divides 79069 without a remainder.

1, 37, 2137

Step-4: Factors of 79074

List of positive integer factors of 79074 that divides 79069 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 191, 207, 382, 414, 573, 1146, 1719, 3438, 4393, 8786, 13179, 26358, 39537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79069 and 79074. The biggest common factor number is the GCF number.
So the greatest common factor 79069 and 79074 is 1.

Also check out the Least Common Multiple of 79069 and 79074