What is the Greatest Common Factor of 79072 and 79084?

Greatest common factor (GCF) of 79072 and 79084 is 4.

GCF(79072,79084) = 4

We will now calculate the prime factors of 79072 and 79084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79072 and 79084.

How to find the GCF of 79072 and 79084?

We will first find the prime factorization of 79072 and 79084. After we will calculate the factors of 79072 and 79084 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 79084

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

79084 = 2² × 17¹ × 1163¹

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 79084

List of positive integer factors of 79084 that divides 79072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79072 and 79084. The biggest common factor number is the GCF number.
So the greatest common factor 79072 and 79084 is 4.

Also check out the Least Common Multiple of 79072 and 79084