What is the Greatest Common Factor of 79046 and 79052?

Greatest common factor (GCF) of 79046 and 79052 is 2.

GCF(79046,79052) = 2

We will now calculate the prime factors of 79046 and 79052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79046 and 79052.

How to find the GCF of 79046 and 79052?

We will first find the prime factorization of 79046 and 79052. After we will calculate the factors of 79046 and 79052 and find the biggest common factor number .

Step-1: Prime Factorization of 79046

Prime factors of 79046 are 2, 11, 3593. Prime factorization of 79046 in exponential form is:

79046 = 2¹ × 11¹ × 3593¹

Step-2: Prime Factorization of 79052

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

79052 = 2² × 19763¹

Step-3: Factors of 79046

List of positive integer factors of 79046 that divides 79046 without a remainder.

1, 2, 11, 22, 3593, 7186, 39523

Step-4: Factors of 79052

List of positive integer factors of 79052 that divides 79046 without a remainder.

1, 2, 4, 19763, 39526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79046 and 79052. The biggest common factor number is the GCF number.
So the greatest common factor 79046 and 79052 is 2.

Also check out the Least Common Multiple of 79046 and 79052