What is the Greatest Common Factor of 70089 and 70104?

Greatest common factor (GCF) of 70089 and 70104 is 3.

GCF(70089,70104) = 3

We will now calculate the prime factors of 70089 and 70104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70089 and 70104.

How to find the GCF of 70089 and 70104?

We will first find the prime factorization of 70089 and 70104. After we will calculate the factors of 70089 and 70104 and find the biggest common factor number .

Step-1: Prime Factorization of 70089

Prime factors of 70089 are 3, 61, 383. Prime factorization of 70089 in exponential form is:

70089 = 3¹ × 61¹ × 383¹

Step-2: 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-3: Factors of 70089

List of positive integer factors of 70089 that divides 70089 without a remainder.

1, 3, 61, 183, 383, 1149, 23363

Step-4: Factors of 70104

List of positive integer factors of 70104 that divides 70089 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70089 and 70104. The biggest common factor number is the GCF number.
So the greatest common factor 70089 and 70104 is 3.

Also check out the Least Common Multiple of 70089 and 70104