What is the Greatest Common Factor of 71422 and 71435?

Greatest common factor (GCF) of 71422 and 71435 is 13.

GCF(71422,71435) = 13

We will now calculate the prime factors of 71422 and 71435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71422 and 71435.

How to find the GCF of 71422 and 71435?

We will first find the prime factorization of 71422 and 71435. After we will calculate the factors of 71422 and 71435 and find the biggest common factor number .

Step-1: Prime Factorization of 71422

Prime factors of 71422 are 2, 13, 41, 67. Prime factorization of 71422 in exponential form is:

71422 = 2¹ × 13¹ × 41¹ × 67¹

Step-2: Prime Factorization of 71435

Prime factors of 71435 are 5, 7, 13, 157. Prime factorization of 71435 in exponential form is:

71435 = 5¹ × 7¹ × 13¹ × 157¹

Step-3: Factors of 71422

List of positive integer factors of 71422 that divides 71422 without a remainder.

1, 2, 13, 26, 41, 67, 82, 134, 533, 871, 1066, 1742, 2747, 5494, 35711

Step-4: Factors of 71435

List of positive integer factors of 71435 that divides 71422 without a remainder.

1, 5, 7, 13, 35, 65, 91, 157, 455, 785, 1099, 2041, 5495, 10205, 14287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71422 and 71435. The biggest common factor number is the GCF number.
So the greatest common factor 71422 and 71435 is 13.

Also check out the Least Common Multiple of 71422 and 71435