What is the Greatest Common Factor of 79044 and 79051?

Greatest common factor (GCF) of 79044 and 79051 is 7.

GCF(79044,79051) = 7

We will now calculate the prime factors of 79044 and 79051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79044 and 79051.

How to find the GCF of 79044 and 79051?

We will first find the prime factorization of 79044 and 79051. After we will calculate the factors of 79044 and 79051 and find the biggest common factor number .

Step-1: Prime Factorization of 79044

Prime factors of 79044 are 2, 3, 7, 941. Prime factorization of 79044 in exponential form is:

79044 = 2² × 3¹ × 7¹ × 941¹

Step-2: Prime Factorization of 79051

Prime factors of 79051 are 7, 23, 491. Prime factorization of 79051 in exponential form is:

79051 = 7¹ × 23¹ × 491¹

Step-3: Factors of 79044

List of positive integer factors of 79044 that divides 79044 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 941, 1882, 2823, 3764, 5646, 6587, 11292, 13174, 19761, 26348, 39522

Step-4: Factors of 79051

List of positive integer factors of 79051 that divides 79044 without a remainder.

1, 7, 23, 161, 491, 3437, 11293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79044 and 79051. The biggest common factor number is the GCF number.
So the greatest common factor 79044 and 79051 is 7.

Also check out the Least Common Multiple of 79044 and 79051