What is the Greatest Common Factor of 70083 and 70098?

Greatest common factor (GCF) of 70083 and 70098 is 3.

GCF(70083,70098) = 3

We will now calculate the prime factors of 70083 and 70098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70083 and 70098.

How to find the GCF of 70083 and 70098?

We will first find the prime factorization of 70083 and 70098. After we will calculate the factors of 70083 and 70098 and find the biggest common factor number .

Step-1: Prime Factorization of 70083

Prime factors of 70083 are 3, 13, 599. Prime factorization of 70083 in exponential form is:

70083 = 3² × 13¹ × 599¹

Step-2: Prime Factorization of 70098

Prime factors of 70098 are 2, 3, 7, 1669. Prime factorization of 70098 in exponential form is:

70098 = 2¹ × 3¹ × 7¹ × 1669¹

Step-3: Factors of 70083

List of positive integer factors of 70083 that divides 70083 without a remainder.

1, 3, 9, 13, 39, 117, 599, 1797, 5391, 7787, 23361

Step-4: Factors of 70098

List of positive integer factors of 70098 that divides 70083 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1669, 3338, 5007, 10014, 11683, 23366, 35049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70083 and 70098. The biggest common factor number is the GCF number.
So the greatest common factor 70083 and 70098 is 3.

Also check out the Least Common Multiple of 70083 and 70098