What is the Greatest Common Factor of 71410 and 71422?

Greatest common factor (GCF) of 71410 and 71422 is 2.

GCF(71410,71422) = 2

We will now calculate the prime factors of 71410 and 71422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71410 and 71422.

How to find the GCF of 71410 and 71422?

We will first find the prime factorization of 71410 and 71422. After we will calculate the factors of 71410 and 71422 and find the biggest common factor number .

Step-1: Prime Factorization of 71410

Prime factors of 71410 are 2, 5, 37, 193. Prime factorization of 71410 in exponential form is:

71410 = 2¹ × 5¹ × 37¹ × 193¹

Step-2: 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-3: Factors of 71410

List of positive integer factors of 71410 that divides 71410 without a remainder.

1, 2, 5, 10, 37, 74, 185, 193, 370, 386, 965, 1930, 7141, 14282, 35705

Step-4: Factors of 71422

List of positive integer factors of 71422 that divides 71410 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71410 and 71422. The biggest common factor number is the GCF number.
So the greatest common factor 71410 and 71422 is 2.

Also check out the Least Common Multiple of 71410 and 71422