What is the Greatest Common Factor of 19062 and 19070?

Greatest common factor (GCF) of 19062 and 19070 is 2.

GCF(19062,19070) = 2

We will now calculate the prime factors of 19062 and 19070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19062 and 19070.

How to find the GCF of 19062 and 19070?

We will first find the prime factorization of 19062 and 19070. After we will calculate the factors of 19062 and 19070 and find the biggest common factor number .

Step-1: Prime Factorization of 19062

Prime factors of 19062 are 2, 3, 353. Prime factorization of 19062 in exponential form is:

19062 = 2¹ × 3³ × 353¹

Step-2: Prime Factorization of 19070

Prime factors of 19070 are 2, 5, 1907. Prime factorization of 19070 in exponential form is:

19070 = 2¹ × 5¹ × 1907¹

Step-3: Factors of 19062

List of positive integer factors of 19062 that divides 19062 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 353, 706, 1059, 2118, 3177, 6354, 9531

Step-4: Factors of 19070

List of positive integer factors of 19070 that divides 19062 without a remainder.

1, 2, 5, 10, 1907, 3814, 9535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19062 and 19070. The biggest common factor number is the GCF number.
So the greatest common factor 19062 and 19070 is 2.

Also check out the Least Common Multiple of 19062 and 19070