What is the Greatest Common Factor of 75880 and 75886?

Greatest common factor (GCF) of 75880 and 75886 is 2.

GCF(75880,75886) = 2

We will now calculate the prime factors of 75880 and 75886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75880 and 75886.

How to find the GCF of 75880 and 75886?

We will first find the prime factorization of 75880 and 75886. After we will calculate the factors of 75880 and 75886 and find the biggest common factor number .

Step-1: Prime Factorization of 75880

Prime factors of 75880 are 2, 5, 7, 271. Prime factorization of 75880 in exponential form is:

75880 = 2³ × 5¹ × 7¹ × 271¹

Step-2: Prime Factorization of 75886

Prime factors of 75886 are 2, 19, 1997. Prime factorization of 75886 in exponential form is:

75886 = 2¹ × 19¹ × 1997¹

Step-3: Factors of 75880

List of positive integer factors of 75880 that divides 75880 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 271, 280, 542, 1084, 1355, 1897, 2168, 2710, 3794, 5420, 7588, 9485, 10840, 15176, 18970, 37940

Step-4: Factors of 75886

List of positive integer factors of 75886 that divides 75880 without a remainder.

1, 2, 19, 38, 1997, 3994, 37943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75880 and 75886. The biggest common factor number is the GCF number.
So the greatest common factor 75880 and 75886 is 2.

Also check out the Least Common Multiple of 75880 and 75886