What is the Greatest Common Factor of 71600 and 71607?

Greatest common factor (GCF) of 71600 and 71607 is 1.

GCF(71600,71607) = 1

We will now calculate the prime factors of 71600 and 71607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71600 and 71607.

How to find the GCF of 71600 and 71607?

We will first find the prime factorization of 71600 and 71607. After we will calculate the factors of 71600 and 71607 and find the biggest common factor number .

Step-1: Prime Factorization of 71600

Prime factors of 71600 are 2, 5, 179. Prime factorization of 71600 in exponential form is:

71600 = 2⁴ × 5² × 179¹

Step-2: Prime Factorization of 71607

Prime factors of 71607 are 3, 23869. Prime factorization of 71607 in exponential form is:

71607 = 3¹ × 23869¹

Step-3: Factors of 71600

List of positive integer factors of 71600 that divides 71600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 179, 200, 358, 400, 716, 895, 1432, 1790, 2864, 3580, 4475, 7160, 8950, 14320, 17900, 35800

Step-4: Factors of 71607

List of positive integer factors of 71607 that divides 71600 without a remainder.

1, 3, 23869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71600 and 71607. The biggest common factor number is the GCF number.
So the greatest common factor 71600 and 71607 is 1.

Also check out the Least Common Multiple of 71600 and 71607