What is the Greatest Common Factor of 35880 and 35887?

Greatest common factor (GCF) of 35880 and 35887 is 1.

GCF(35880,35887) = 1

We will now calculate the prime factors of 35880 and 35887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35880 and 35887.

How to find the GCF of 35880 and 35887?

We will first find the prime factorization of 35880 and 35887. After we will calculate the factors of 35880 and 35887 and find the biggest common factor number .

Step-1: Prime Factorization of 35880

Prime factors of 35880 are 2, 3, 5, 13, 23. Prime factorization of 35880 in exponential form is:

35880 = 2³ × 3¹ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 35887

Prime factors of 35887 are 17, 2111. Prime factorization of 35887 in exponential form is:

35887 = 17¹ × 2111¹

Step-3: Factors of 35880

List of positive integer factors of 35880 that divides 35880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 23, 24, 26, 30, 39, 40, 46, 52, 60, 65, 69, 78, 92, 104, 115, 120, 130, 138, 156, 184, 195, 230, 260, 276, 299, 312, 345, 390, 460, 520, 552, 598, 690, 780, 897, 920, 1196, 1380, 1495, 1560, 1794, 2392, 2760, 2990, 3588, 4485, 5980, 7176, 8970, 11960, 17940

Step-4: Factors of 35887

List of positive integer factors of 35887 that divides 35880 without a remainder.

1, 17, 2111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35880 and 35887. The biggest common factor number is the GCF number.
So the greatest common factor 35880 and 35887 is 1.

Also check out the Least Common Multiple of 35880 and 35887