What is the Greatest Common Factor of 79072 and 79091?

Greatest common factor (GCF) of 79072 and 79091 is 1.

GCF(79072,79091) = 1

We will now calculate the prime factors of 79072 and 79091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79072 and 79091.

How to find the GCF of 79072 and 79091?

We will first find the prime factorization of 79072 and 79091. After we will calculate the factors of 79072 and 79091 and find the biggest common factor number .

Step-1: Prime Factorization of 79072

Prime factors of 79072 are 2, 7, 353. Prime factorization of 79072 in exponential form is:

79072 = 2⁵ × 7¹ × 353¹

Step-2: Prime Factorization of 79091

Prime factors of 79091 are 139, 569. Prime factorization of 79091 in exponential form is:

79091 = 139¹ × 569¹

Step-3: Factors of 79072

List of positive integer factors of 79072 that divides 79072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 353, 706, 1412, 2471, 2824, 4942, 5648, 9884, 11296, 19768, 39536

Step-4: Factors of 79091

List of positive integer factors of 79091 that divides 79072 without a remainder.

1, 139, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79072 and 79091. The biggest common factor number is the GCF number.
So the greatest common factor 79072 and 79091 is 1.

Also check out the Least Common Multiple of 79072 and 79091