What is the Greatest Common Factor of 10051 and 10070?

Greatest common factor (GCF) of 10051 and 10070 is 19.

GCF(10051,10070) = 19

We will now calculate the prime factors of 10051 and 10070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10051 and 10070.

How to find the GCF of 10051 and 10070?

We will first find the prime factorization of 10051 and 10070. After we will calculate the factors of 10051 and 10070 and find the biggest common factor number .

Step-1: Prime Factorization of 10051

Prime factors of 10051 are 19, 23. Prime factorization of 10051 in exponential form is:

10051 = 19¹ × 23²

Step-2: Prime Factorization of 10070

Prime factors of 10070 are 2, 5, 19, 53. Prime factorization of 10070 in exponential form is:

10070 = 2¹ × 5¹ × 19¹ × 53¹

Step-3: Factors of 10051

List of positive integer factors of 10051 that divides 10051 without a remainder.

1, 19, 23, 437, 529

Step-4: Factors of 10070

List of positive integer factors of 10070 that divides 10051 without a remainder.

1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10051 and 10070. The biggest common factor number is the GCF number.
So the greatest common factor 10051 and 10070 is 19.

Also check out the Least Common Multiple of 10051 and 10070