What is the Greatest Common Factor of 71410 and 71420?

Greatest common factor (GCF) of 71410 and 71420 is 10.

GCF(71410,71420) = 10

We will now calculate the prime factors of 71410 and 71420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71410 and 71420.

How to find the GCF of 71410 and 71420?

We will first find the prime factorization of 71410 and 71420. After we will calculate the factors of 71410 and 71420 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 71420

Prime factors of 71420 are 2, 5, 3571. Prime factorization of 71420 in exponential form is:

71420 = 2² × 5¹ × 3571¹

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 71420

List of positive integer factors of 71420 that divides 71410 without a remainder.

1, 2, 4, 5, 10, 20, 3571, 7142, 14284, 17855, 35710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71410 and 71420. The biggest common factor number is the GCF number.
So the greatest common factor 71410 and 71420 is 10.

Also check out the Least Common Multiple of 71410 and 71420