What is the Greatest Common Factor of 70104 and 70116?

Greatest common factor (GCF) of 70104 and 70116 is 12.

GCF(70104,70116) = 12

We will now calculate the prime factors of 70104 and 70116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70104 and 70116.

How to find the GCF of 70104 and 70116?

We will first find the prime factorization of 70104 and 70116. After we will calculate the factors of 70104 and 70116 and find the biggest common factor number .

Step-1: Prime Factorization of 70104

Prime factors of 70104 are 2, 3, 23, 127. Prime factorization of 70104 in exponential form is:

70104 = 2³ × 3¹ × 23¹ × 127¹

Step-2: Prime Factorization of 70116

Prime factors of 70116 are 2, 3, 5843. Prime factorization of 70116 in exponential form is:

70116 = 2² × 3¹ × 5843¹

Step-3: Factors of 70104

List of positive integer factors of 70104 that divides 70104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 127, 138, 184, 254, 276, 381, 508, 552, 762, 1016, 1524, 2921, 3048, 5842, 8763, 11684, 17526, 23368, 35052

Step-4: Factors of 70116

List of positive integer factors of 70116 that divides 70104 without a remainder.

1, 2, 3, 4, 6, 12, 5843, 11686, 17529, 23372, 35058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70104 and 70116. The biggest common factor number is the GCF number.
So the greatest common factor 70104 and 70116 is 12.

Also check out the Least Common Multiple of 70104 and 70116