What is the Greatest Common Factor of 73973 and 73982?

Greatest common factor (GCF) of 73973 and 73982 is 1.

GCF(73973,73982) = 1

We will now calculate the prime factors of 73973 and 73982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73973 and 73982.

How to find the GCF of 73973 and 73982?

We will first find the prime factorization of 73973 and 73982. After we will calculate the factors of 73973 and 73982 and find the biggest common factor number .

Step-1: Prime Factorization of 73973

Prime factors of 73973 are 73973. Prime factorization of 73973 in exponential form is:

73973 = 73973¹

Step-2: Prime Factorization of 73982

Prime factors of 73982 are 2, 71, 521. Prime factorization of 73982 in exponential form is:

73982 = 2¹ × 71¹ × 521¹

Step-3: Factors of 73973

List of positive integer factors of 73973 that divides 73973 without a remainder.

Step-4: Factors of 73982

List of positive integer factors of 73982 that divides 73973 without a remainder.

1, 2, 71, 142, 521, 1042, 36991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73973 and 73982. The biggest common factor number is the GCF number.
So the greatest common factor 73973 and 73982 is 1.

Also check out the Least Common Multiple of 73973 and 73982