What is the Greatest Common Factor of 67051 and 67070?

Greatest common factor (GCF) of 67051 and 67070 is 19.

GCF(67051,67070) = 19

We will now calculate the prime factors of 67051 and 67070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67051 and 67070.

How to find the GCF of 67051 and 67070?

We will first find the prime factorization of 67051 and 67070. After we will calculate the factors of 67051 and 67070 and find the biggest common factor number .

Step-1: Prime Factorization of 67051

Prime factors of 67051 are 19, 3529. Prime factorization of 67051 in exponential form is:

67051 = 19¹ × 3529¹

Step-2: Prime Factorization of 67070

Prime factors of 67070 are 2, 5, 19, 353. Prime factorization of 67070 in exponential form is:

67070 = 2¹ × 5¹ × 19¹ × 353¹

Step-3: Factors of 67051

List of positive integer factors of 67051 that divides 67051 without a remainder.

1, 19, 3529

Step-4: Factors of 67070

List of positive integer factors of 67070 that divides 67051 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 353, 706, 1765, 3530, 6707, 13414, 33535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67051 and 67070. The biggest common factor number is the GCF number.
So the greatest common factor 67051 and 67070 is 19.

Also check out the Least Common Multiple of 67051 and 67070