What is the Greatest Common Factor of 70015 and 70034?

Greatest common factor (GCF) of 70015 and 70034 is 19.

GCF(70015,70034) = 19

We will now calculate the prime factors of 70015 and 70034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70015 and 70034.

How to find the GCF of 70015 and 70034?

We will first find the prime factorization of 70015 and 70034. After we will calculate the factors of 70015 and 70034 and find the biggest common factor number .

Step-1: Prime Factorization of 70015

Prime factors of 70015 are 5, 11, 19, 67. Prime factorization of 70015 in exponential form is:

70015 = 5¹ × 11¹ × 19¹ × 67¹

Step-2: 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-3: Factors of 70015

List of positive integer factors of 70015 that divides 70015 without a remainder.

1, 5, 11, 19, 55, 67, 95, 209, 335, 737, 1045, 1273, 3685, 6365, 14003

Step-4: Factors of 70034

List of positive integer factors of 70034 that divides 70015 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70015 and 70034. The biggest common factor number is the GCF number.
So the greatest common factor 70015 and 70034 is 19.

Also check out the Least Common Multiple of 70015 and 70034