What is the Greatest Common Factor of 43877 and 43888?

Greatest common factor (GCF) of 43877 and 43888 is 1.

GCF(43877,43888) = 1

We will now calculate the prime factors of 43877 and 43888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43877 and 43888.

How to find the GCF of 43877 and 43888?

We will first find the prime factorization of 43877 and 43888. After we will calculate the factors of 43877 and 43888 and find the biggest common factor number .

Step-1: Prime Factorization of 43877

Prime factors of 43877 are 17, 29, 89. Prime factorization of 43877 in exponential form is:

43877 = 17¹ × 29¹ × 89¹

Step-2: Prime Factorization of 43888

Prime factors of 43888 are 2, 13, 211. Prime factorization of 43888 in exponential form is:

43888 = 2⁴ × 13¹ × 211¹

Step-3: Factors of 43877

List of positive integer factors of 43877 that divides 43877 without a remainder.

1, 17, 29, 89, 493, 1513, 2581

Step-4: Factors of 43888

List of positive integer factors of 43888 that divides 43877 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 211, 422, 844, 1688, 2743, 3376, 5486, 10972, 21944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43877 and 43888. The biggest common factor number is the GCF number.
So the greatest common factor 43877 and 43888 is 1.

Also check out the Least Common Multiple of 43877 and 43888