What is the Greatest Common Factor of 71470 and 71488?

Greatest common factor (GCF) of 71470 and 71488 is 2.

GCF(71470,71488) = 2

We will now calculate the prime factors of 71470 and 71488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71470 and 71488.

How to find the GCF of 71470 and 71488?

We will first find the prime factorization of 71470 and 71488. After we will calculate the factors of 71470 and 71488 and find the biggest common factor number .

Step-1: Prime Factorization of 71470

Prime factors of 71470 are 2, 5, 7, 1021. Prime factorization of 71470 in exponential form is:

71470 = 2¹ × 5¹ × 7¹ × 1021¹

Step-2: Prime Factorization of 71488

Prime factors of 71488 are 2, 1117. Prime factorization of 71488 in exponential form is:

71488 = 2⁶ × 1117¹

Step-3: Factors of 71470

List of positive integer factors of 71470 that divides 71470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1021, 2042, 5105, 7147, 10210, 14294, 35735

Step-4: Factors of 71488

List of positive integer factors of 71488 that divides 71470 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1117, 2234, 4468, 8936, 17872, 35744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71470 and 71488. The biggest common factor number is the GCF number.
So the greatest common factor 71470 and 71488 is 2.

Also check out the Least Common Multiple of 71470 and 71488