What is the Greatest Common Factor of 87410 and 87430?

Greatest common factor (GCF) of 87410 and 87430 is 10.

GCF(87410,87430) = 10

We will now calculate the prime factors of 87410 and 87430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87410 and 87430.

How to find the GCF of 87410 and 87430?

We will first find the prime factorization of 87410 and 87430. After we will calculate the factors of 87410 and 87430 and find the biggest common factor number .

Step-1: Prime Factorization of 87410

Prime factors of 87410 are 2, 5, 8741. Prime factorization of 87410 in exponential form is:

87410 = 2¹ × 5¹ × 8741¹

Step-2: Prime Factorization of 87430

Prime factors of 87430 are 2, 5, 7, 1249. Prime factorization of 87430 in exponential form is:

87430 = 2¹ × 5¹ × 7¹ × 1249¹

Step-3: Factors of 87410

List of positive integer factors of 87410 that divides 87410 without a remainder.

1, 2, 5, 10, 8741, 17482, 43705

Step-4: Factors of 87430

List of positive integer factors of 87430 that divides 87410 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1249, 2498, 6245, 8743, 12490, 17486, 43715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87410 and 87430. The biggest common factor number is the GCF number.
So the greatest common factor 87410 and 87430 is 10.

Also check out the Least Common Multiple of 87410 and 87430