What is the Greatest Common Factor of 75978 and 75996?

Greatest common factor (GCF) of 75978 and 75996 is 18.

GCF(75978,75996) = 18

We will now calculate the prime factors of 75978 and 75996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75978 and 75996.

How to find the GCF of 75978 and 75996?

We will first find the prime factorization of 75978 and 75996. After we will calculate the factors of 75978 and 75996 and find the biggest common factor number .

Step-1: Prime Factorization of 75978

Prime factors of 75978 are 2, 3, 7, 67. Prime factorization of 75978 in exponential form is:

75978 = 2¹ × 3⁴ × 7¹ × 67¹

Step-2: Prime Factorization of 75996

Prime factors of 75996 are 2, 3, 2111. Prime factorization of 75996 in exponential form is:

75996 = 2² × 3² × 2111¹

Step-3: Factors of 75978

List of positive integer factors of 75978 that divides 75978 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 67, 81, 126, 134, 162, 189, 201, 378, 402, 469, 567, 603, 938, 1134, 1206, 1407, 1809, 2814, 3618, 4221, 5427, 8442, 10854, 12663, 25326, 37989

Step-4: Factors of 75996

List of positive integer factors of 75996 that divides 75978 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2111, 4222, 6333, 8444, 12666, 18999, 25332, 37998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75978 and 75996. The biggest common factor number is the GCF number.
So the greatest common factor 75978 and 75996 is 18.

Also check out the Least Common Multiple of 75978 and 75996