What is the Greatest Common Factor of 73967 and 73978?

Greatest common factor (GCF) of 73967 and 73978 is 1.

GCF(73967,73978) = 1

We will now calculate the prime factors of 73967 and 73978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73967 and 73978.

How to find the GCF of 73967 and 73978?

We will first find the prime factorization of 73967 and 73978. After we will calculate the factors of 73967 and 73978 and find the biggest common factor number .

Step-1: Prime Factorization of 73967

Prime factors of 73967 are 17, 19, 229. Prime factorization of 73967 in exponential form is:

73967 = 17¹ × 19¹ × 229¹

Step-2: Prime Factorization of 73978

Prime factors of 73978 are 2, 47, 787. Prime factorization of 73978 in exponential form is:

73978 = 2¹ × 47¹ × 787¹

Step-3: Factors of 73967

List of positive integer factors of 73967 that divides 73967 without a remainder.

1, 17, 19, 229, 323, 3893, 4351

Step-4: Factors of 73978

List of positive integer factors of 73978 that divides 73967 without a remainder.

1, 2, 47, 94, 787, 1574, 36989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73967 and 73978. The biggest common factor number is the GCF number.
So the greatest common factor 73967 and 73978 is 1.

Also check out the Least Common Multiple of 73967 and 73978