What is the Greatest Common Factor of 75988 and 76006?

Greatest common factor (GCF) of 75988 and 76006 is 2.

GCF(75988,76006) = 2

We will now calculate the prime factors of 75988 and 76006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75988 and 76006.

How to find the GCF of 75988 and 76006?

We will first find the prime factorization of 75988 and 76006. After we will calculate the factors of 75988 and 76006 and find the biggest common factor number .

Step-1: Prime Factorization of 75988

Prime factors of 75988 are 2, 11, 157. Prime factorization of 75988 in exponential form is:

75988 = 2² × 11² × 157¹

Step-2: Prime Factorization of 76006

Prime factors of 76006 are 2, 7, 61, 89. Prime factorization of 76006 in exponential form is:

76006 = 2¹ × 7¹ × 61¹ × 89¹

Step-3: Factors of 75988

List of positive integer factors of 75988 that divides 75988 without a remainder.

1, 2, 4, 11, 22, 44, 121, 157, 242, 314, 484, 628, 1727, 3454, 6908, 18997, 37994

Step-4: Factors of 76006

List of positive integer factors of 76006 that divides 75988 without a remainder.

1, 2, 7, 14, 61, 89, 122, 178, 427, 623, 854, 1246, 5429, 10858, 38003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75988 and 76006. The biggest common factor number is the GCF number.
So the greatest common factor 75988 and 76006 is 2.

Also check out the Least Common Multiple of 75988 and 76006