What is the Greatest Common Factor of 87430 and 87440?

Greatest common factor (GCF) of 87430 and 87440 is 10.

GCF(87430,87440) = 10

We will now calculate the prime factors of 87430 and 87440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87430 and 87440.

How to find the GCF of 87430 and 87440?

We will first find the prime factorization of 87430 and 87440. After we will calculate the factors of 87430 and 87440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87440

Prime factors of 87440 are 2, 5, 1093. Prime factorization of 87440 in exponential form is:

87440 = 2⁴ × 5¹ × 1093¹

Step-3: Factors of 87430

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

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

Step-4: Factors of 87440

List of positive integer factors of 87440 that divides 87430 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1093, 2186, 4372, 5465, 8744, 10930, 17488, 21860, 43720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87430 and 87440. The biggest common factor number is the GCF number.
So the greatest common factor 87430 and 87440 is 10.

Also check out the Least Common Multiple of 87430 and 87440