What is the Greatest Common Factor of 79442 and 79453?

Greatest common factor (GCF) of 79442 and 79453 is 11.

GCF(79442,79453) = 11

We will now calculate the prime factors of 79442 and 79453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79442 and 79453.

How to find the GCF of 79442 and 79453?

We will first find the prime factorization of 79442 and 79453. After we will calculate the factors of 79442 and 79453 and find the biggest common factor number .

Step-1: Prime Factorization of 79442

Prime factors of 79442 are 2, 11, 23, 157. Prime factorization of 79442 in exponential form is:

79442 = 2¹ × 11¹ × 23¹ × 157¹

Step-2: Prime Factorization of 79453

Prime factors of 79453 are 11, 31, 233. Prime factorization of 79453 in exponential form is:

79453 = 11¹ × 31¹ × 233¹

Step-3: Factors of 79442

List of positive integer factors of 79442 that divides 79442 without a remainder.

1, 2, 11, 22, 23, 46, 157, 253, 314, 506, 1727, 3454, 3611, 7222, 39721

Step-4: Factors of 79453

List of positive integer factors of 79453 that divides 79442 without a remainder.

1, 11, 31, 233, 341, 2563, 7223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79442 and 79453. The biggest common factor number is the GCF number.
So the greatest common factor 79442 and 79453 is 11.

Also check out the Least Common Multiple of 79442 and 79453