What is the Greatest Common Factor of 75978 and 75998?

Greatest common factor (GCF) of 75978 and 75998 is 2.

GCF(75978,75998) = 2

We will now calculate the prime factors of 75978 and 75998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75978 and 75998.

How to find the GCF of 75978 and 75998?

We will first find the prime factorization of 75978 and 75998. After we will calculate the factors of 75978 and 75998 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 75998

Prime factors of 75998 are 2, 13, 37, 79. Prime factorization of 75998 in exponential form is:

75998 = 2¹ × 13¹ × 37¹ × 79¹

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 75998

List of positive integer factors of 75998 that divides 75978 without a remainder.

1, 2, 13, 26, 37, 74, 79, 158, 481, 962, 1027, 2054, 2923, 5846, 37999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75978 and 75998. The biggest common factor number is the GCF number.
So the greatest common factor 75978 and 75998 is 2.

Also check out the Least Common Multiple of 75978 and 75998