What is the Greatest Common Factor of 79084 and 79102?

Greatest common factor (GCF) of 79084 and 79102 is 2.

GCF(79084,79102) = 2

We will now calculate the prime factors of 79084 and 79102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79084 and 79102.

How to find the GCF of 79084 and 79102?

We will first find the prime factorization of 79084 and 79102. After we will calculate the factors of 79084 and 79102 and find the biggest common factor number .

Step-1: Prime Factorization of 79084

Prime factors of 79084 are 2, 17, 1163. Prime factorization of 79084 in exponential form is:

79084 = 2² × 17¹ × 1163¹

Step-2: Prime Factorization of 79102

Prime factors of 79102 are 2, 39551. Prime factorization of 79102 in exponential form is:

79102 = 2¹ × 39551¹

Step-3: Factors of 79084

List of positive integer factors of 79084 that divides 79084 without a remainder.

1, 2, 4, 17, 34, 68, 1163, 2326, 4652, 19771, 39542

Step-4: Factors of 79102

List of positive integer factors of 79102 that divides 79084 without a remainder.

1, 2, 39551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79084 and 79102. The biggest common factor number is the GCF number.
So the greatest common factor 79084 and 79102 is 2.

Also check out the Least Common Multiple of 79084 and 79102