What is the Greatest Common Factor of 70116 and 70128?

Greatest common factor (GCF) of 70116 and 70128 is 12.

GCF(70116,70128) = 12

We will now calculate the prime factors of 70116 and 70128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70116 and 70128.

How to find the GCF of 70116 and 70128?

We will first find the prime factorization of 70116 and 70128. After we will calculate the factors of 70116 and 70128 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70128

Prime factors of 70128 are 2, 3, 487. Prime factorization of 70128 in exponential form is:

70128 = 2⁴ × 3² × 487¹

Step-3: Factors of 70116

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

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

Step-4: Factors of 70128

List of positive integer factors of 70128 that divides 70116 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 487, 974, 1461, 1948, 2922, 3896, 4383, 5844, 7792, 8766, 11688, 17532, 23376, 35064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70116 and 70128. The biggest common factor number is the GCF number.
So the greatest common factor 70116 and 70128 is 12.

Also check out the Least Common Multiple of 70116 and 70128