What is the Greatest Common Factor of 71408 and 71422?

Greatest common factor (GCF) of 71408 and 71422 is 2.

GCF(71408,71422) = 2

We will now calculate the prime factors of 71408 and 71422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71408 and 71422.

How to find the GCF of 71408 and 71422?

We will first find the prime factorization of 71408 and 71422. After we will calculate the factors of 71408 and 71422 and find the biggest common factor number .

Step-1: Prime Factorization of 71408

Prime factors of 71408 are 2, 4463. Prime factorization of 71408 in exponential form is:

71408 = 2⁴ × 4463¹

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 71408

List of positive integer factors of 71408 that divides 71408 without a remainder.

1, 2, 4, 8, 16, 4463, 8926, 17852, 35704

Step-4: Factors of 71422

List of positive integer factors of 71422 that divides 71408 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 71408 and 71422. The biggest common factor number is the GCF number.
So the greatest common factor 71408 and 71422 is 2.

Also check out the Least Common Multiple of 71408 and 71422