What is the Greatest Common Factor of 71480 and 71490?

Greatest common factor (GCF) of 71480 and 71490 is 10.

GCF(71480,71490) = 10

We will now calculate the prime factors of 71480 and 71490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71480 and 71490.

How to find the GCF of 71480 and 71490?

We will first find the prime factorization of 71480 and 71490. After we will calculate the factors of 71480 and 71490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71490

Prime factors of 71490 are 2, 3, 5, 2383. Prime factorization of 71490 in exponential form is:

71490 = 2¹ × 3¹ × 5¹ × 2383¹

Step-3: Factors of 71480

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

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

Step-4: Factors of 71490

List of positive integer factors of 71490 that divides 71480 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2383, 4766, 7149, 11915, 14298, 23830, 35745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71480 and 71490. The biggest common factor number is the GCF number.
So the greatest common factor 71480 and 71490 is 10.

Also check out the Least Common Multiple of 71480 and 71490