What is the Greatest Common Factor of 71470 and 71480?

Greatest common factor (GCF) of 71470 and 71480 is 10.

GCF(71470,71480) = 10

We will now calculate the prime factors of 71470 and 71480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71470 and 71480.

How to find the GCF of 71470 and 71480?

We will first find the prime factorization of 71470 and 71480. After we will calculate the factors of 71470 and 71480 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 71480

Prime factors of 71480 are 2, 5, 1787. Prime factorization of 71480 in exponential form is:

71480 = 2³ × 5¹ × 1787¹

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 71480

List of positive integer factors of 71480 that divides 71470 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1787, 3574, 7148, 8935, 14296, 17870, 35740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71470 and 71480. The biggest common factor number is the GCF number.
So the greatest common factor 71470 and 71480 is 10.

Also check out the Least Common Multiple of 71470 and 71480