What is the Greatest Common Factor of 71880 and 71884?

Greatest common factor (GCF) of 71880 and 71884 is 4.

GCF(71880,71884) = 4

We will now calculate the prime factors of 71880 and 71884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71880 and 71884.

How to find the GCF of 71880 and 71884?

We will first find the prime factorization of 71880 and 71884. After we will calculate the factors of 71880 and 71884 and find the biggest common factor number .

Step-1: Prime Factorization of 71880

Prime factors of 71880 are 2, 3, 5, 599. Prime factorization of 71880 in exponential form is:

71880 = 2³ × 3¹ × 5¹ × 599¹

Step-2: Prime Factorization of 71884

Prime factors of 71884 are 2, 17971. Prime factorization of 71884 in exponential form is:

71884 = 2² × 17971¹

Step-3: Factors of 71880

List of positive integer factors of 71880 that divides 71880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 599, 1198, 1797, 2396, 2995, 3594, 4792, 5990, 7188, 8985, 11980, 14376, 17970, 23960, 35940

Step-4: Factors of 71884

List of positive integer factors of 71884 that divides 71880 without a remainder.

1, 2, 4, 17971, 35942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71880 and 71884. The biggest common factor number is the GCF number.
So the greatest common factor 71880 and 71884 is 4.

Also check out the Least Common Multiple of 71880 and 71884