What is the Greatest Common Factor of 70123 and 70128?

Greatest common factor (GCF) of 70123 and 70128 is 1.

GCF(70123,70128) = 1

We will now calculate the prime factors of 70123 and 70128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70123 and 70128.

How to find the GCF of 70123 and 70128?

We will first find the prime factorization of 70123 and 70128. After we will calculate the factors of 70123 and 70128 and find the biggest common factor number .

Step-1: Prime Factorization of 70123

Prime factors of 70123 are 70123. Prime factorization of 70123 in exponential form is:

70123 = 70123¹

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 70123

List of positive integer factors of 70123 that divides 70123 without a remainder.

Step-4: Factors of 70128

List of positive integer factors of 70128 that divides 70123 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 70123 and 70128. The biggest common factor number is the GCF number.
So the greatest common factor 70123 and 70128 is 1.

Also check out the Least Common Multiple of 70123 and 70128