What is the Greatest Common Factor of 75992 and 76012?

Greatest common factor (GCF) of 75992 and 76012 is 4.

GCF(75992,76012) = 4

We will now calculate the prime factors of 75992 and 76012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75992 and 76012.

How to find the GCF of 75992 and 76012?

We will first find the prime factorization of 75992 and 76012. After we will calculate the factors of 75992 and 76012 and find the biggest common factor number .

Step-1: Prime Factorization of 75992

Prime factors of 75992 are 2, 7, 23, 59. Prime factorization of 75992 in exponential form is:

75992 = 2³ × 7¹ × 23¹ × 59¹

Step-2: Prime Factorization of 76012

Prime factors of 76012 are 2, 31, 613. Prime factorization of 76012 in exponential form is:

76012 = 2² × 31¹ × 613¹

Step-3: Factors of 75992

List of positive integer factors of 75992 that divides 75992 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 59, 92, 118, 161, 184, 236, 322, 413, 472, 644, 826, 1288, 1357, 1652, 2714, 3304, 5428, 9499, 10856, 18998, 37996

Step-4: Factors of 76012

List of positive integer factors of 76012 that divides 75992 without a remainder.

1, 2, 4, 31, 62, 124, 613, 1226, 2452, 19003, 38006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75992 and 76012. The biggest common factor number is the GCF number.
So the greatest common factor 75992 and 76012 is 4.

Also check out the Least Common Multiple of 75992 and 76012