What is the Greatest Common Factor of 71422 and 71436?

Greatest common factor (GCF) of 71422 and 71436 is 2.

GCF(71422,71436) = 2

We will now calculate the prime factors of 71422 and 71436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71422 and 71436.

How to find the GCF of 71422 and 71436?

We will first find the prime factorization of 71422 and 71436. After we will calculate the factors of 71422 and 71436 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 71436

Prime factors of 71436 are 2, 3, 5953. Prime factorization of 71436 in exponential form is:

71436 = 2² × 3¹ × 5953¹

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 71436

List of positive integer factors of 71436 that divides 71422 without a remainder.

1, 2, 3, 4, 6, 12, 5953, 11906, 17859, 23812, 35718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71422 and 71436. The biggest common factor number is the GCF number.
So the greatest common factor 71422 and 71436 is 2.

Also check out the Least Common Multiple of 71422 and 71436