What is the Greatest Common Factor of 79709 and 79722?

Greatest common factor (GCF) of 79709 and 79722 is 1.

GCF(79709,79722) = 1

We will now calculate the prime factors of 79709 and 79722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79709 and 79722.

How to find the GCF of 79709 and 79722?

We will first find the prime factorization of 79709 and 79722. After we will calculate the factors of 79709 and 79722 and find the biggest common factor number .

Step-1: Prime Factorization of 79709

Prime factors of 79709 are 7, 59, 193. Prime factorization of 79709 in exponential form is:

79709 = 7¹ × 59¹ × 193¹

Step-2: Prime Factorization of 79722

Prime factors of 79722 are 2, 3, 43, 103. Prime factorization of 79722 in exponential form is:

79722 = 2¹ × 3² × 43¹ × 103¹

Step-3: Factors of 79709

List of positive integer factors of 79709 that divides 79709 without a remainder.

1, 7, 59, 193, 413, 1351, 11387

Step-4: Factors of 79722

List of positive integer factors of 79722 that divides 79709 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 103, 129, 206, 258, 309, 387, 618, 774, 927, 1854, 4429, 8858, 13287, 26574, 39861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79709 and 79722. The biggest common factor number is the GCF number.
So the greatest common factor 79709 and 79722 is 1.

Also check out the Least Common Multiple of 79709 and 79722