What is the Greatest Common Factor of 94109 and 94122?

Greatest common factor (GCF) of 94109 and 94122 is 1.

GCF(94109,94122) = 1

We will now calculate the prime factors of 94109 and 94122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94109 and 94122.

How to find the GCF of 94109 and 94122?

We will first find the prime factorization of 94109 and 94122. After we will calculate the factors of 94109 and 94122 and find the biggest common factor number .

Step-1: Prime Factorization of 94109

Prime factors of 94109 are 94109. Prime factorization of 94109 in exponential form is:

94109 = 94109¹

Step-2: Prime Factorization of 94122

Prime factors of 94122 are 2, 3, 7, 83. Prime factorization of 94122 in exponential form is:

94122 = 2¹ × 3⁴ × 7¹ × 83¹

Step-3: Factors of 94109

List of positive integer factors of 94109 that divides 94109 without a remainder.

Step-4: Factors of 94122

List of positive integer factors of 94122 that divides 94109 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 83, 126, 162, 166, 189, 249, 378, 498, 567, 581, 747, 1134, 1162, 1494, 1743, 2241, 3486, 4482, 5229, 6723, 10458, 13446, 15687, 31374, 47061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94109 and 94122. The biggest common factor number is the GCF number.
So the greatest common factor 94109 and 94122 is 1.

Also check out the Least Common Multiple of 94109 and 94122