What is the Greatest Common Factor of 79052 and 79058?

Greatest common factor (GCF) of 79052 and 79058 is 2.

GCF(79052,79058) = 2

We will now calculate the prime factors of 79052 and 79058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79052 and 79058.

How to find the GCF of 79052 and 79058?

We will first find the prime factorization of 79052 and 79058. After we will calculate the factors of 79052 and 79058 and find the biggest common factor number .

Step-1: Prime Factorization of 79052

Prime factors of 79052 are 2, 19763. Prime factorization of 79052 in exponential form is:

79052 = 2² × 19763¹

Step-2: Prime Factorization of 79058

Prime factors of 79058 are 2, 7, 5647. Prime factorization of 79058 in exponential form is:

79058 = 2¹ × 7¹ × 5647¹

Step-3: Factors of 79052

List of positive integer factors of 79052 that divides 79052 without a remainder.

1, 2, 4, 19763, 39526

Step-4: Factors of 79058

List of positive integer factors of 79058 that divides 79052 without a remainder.

1, 2, 7, 14, 5647, 11294, 39529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79052 and 79058. The biggest common factor number is the GCF number.
So the greatest common factor 79052 and 79058 is 2.

Also check out the Least Common Multiple of 79052 and 79058