What is the Greatest Common Factor of 70034 and 70053?

Greatest common factor (GCF) of 70034 and 70053 is 19.

GCF(70034,70053) = 19

We will now calculate the prime factors of 70034 and 70053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70034 and 70053.

How to find the GCF of 70034 and 70053?

We will first find the prime factorization of 70034 and 70053. After we will calculate the factors of 70034 and 70053 and find the biggest common factor number .

Step-1: Prime Factorization of 70034

Prime factors of 70034 are 2, 19, 97. Prime factorization of 70034 in exponential form is:

70034 = 2¹ × 19² × 97¹

Step-2: Prime Factorization of 70053

Prime factors of 70053 are 3, 19, 1229. Prime factorization of 70053 in exponential form is:

70053 = 3¹ × 19¹ × 1229¹

Step-3: Factors of 70034

List of positive integer factors of 70034 that divides 70034 without a remainder.

1, 2, 19, 38, 97, 194, 361, 722, 1843, 3686, 35017

Step-4: Factors of 70053

List of positive integer factors of 70053 that divides 70034 without a remainder.

1, 3, 19, 57, 1229, 3687, 23351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70034 and 70053. The biggest common factor number is the GCF number.
So the greatest common factor 70034 and 70053 is 19.

Also check out the Least Common Multiple of 70034 and 70053