What is the Greatest Common Factor of 35867 and 35880?

Greatest common factor (GCF) of 35867 and 35880 is 13.

GCF(35867,35880) = 13

We will now calculate the prime factors of 35867 and 35880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35867 and 35880.

How to find the GCF of 35867 and 35880?

We will first find the prime factorization of 35867 and 35880. After we will calculate the factors of 35867 and 35880 and find the biggest common factor number .

Step-1: Prime Factorization of 35867

Prime factors of 35867 are 13, 31, 89. Prime factorization of 35867 in exponential form is:

35867 = 13¹ × 31¹ × 89¹

Step-2: 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-3: Factors of 35867

List of positive integer factors of 35867 that divides 35867 without a remainder.

1, 13, 31, 89, 403, 1157, 2759

Step-4: Factors of 35880

List of positive integer factors of 35880 that divides 35867 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35867 and 35880. The biggest common factor number is the GCF number.
So the greatest common factor 35867 and 35880 is 13.

Also check out the Least Common Multiple of 35867 and 35880