What is the Greatest Common Factor of 79076 and 79086?

Greatest common factor (GCF) of 79076 and 79086 is 2.

GCF(79076,79086) = 2

We will now calculate the prime factors of 79076 and 79086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79076 and 79086.

How to find the GCF of 79076 and 79086?

We will first find the prime factorization of 79076 and 79086. After we will calculate the factors of 79076 and 79086 and find the biggest common factor number .

Step-1: Prime Factorization of 79076

Prime factors of 79076 are 2, 53, 373. Prime factorization of 79076 in exponential form is:

79076 = 2² × 53¹ × 373¹

Step-2: Prime Factorization of 79086

Prime factors of 79086 are 2, 3, 7, 269. Prime factorization of 79086 in exponential form is:

79086 = 2¹ × 3¹ × 7² × 269¹

Step-3: Factors of 79076

List of positive integer factors of 79076 that divides 79076 without a remainder.

1, 2, 4, 53, 106, 212, 373, 746, 1492, 19769, 39538

Step-4: Factors of 79086

List of positive integer factors of 79086 that divides 79076 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 269, 294, 538, 807, 1614, 1883, 3766, 5649, 11298, 13181, 26362, 39543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79076 and 79086. The biggest common factor number is the GCF number.
So the greatest common factor 79076 and 79086 is 2.

Also check out the Least Common Multiple of 79076 and 79086