What is the Greatest Common Factor of 73972 and 73981?

Greatest common factor (GCF) of 73972 and 73981 is 1.

GCF(73972,73981) = 1

We will now calculate the prime factors of 73972 and 73981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73972 and 73981.

How to find the GCF of 73972 and 73981?

We will first find the prime factorization of 73972 and 73981. After we will calculate the factors of 73972 and 73981 and find the biggest common factor number .

Step-1: Prime Factorization of 73972

Prime factors of 73972 are 2, 18493. Prime factorization of 73972 in exponential form is:

73972 = 2² × 18493¹

Step-2: Prime Factorization of 73981

Prime factors of 73981 are 167, 443. Prime factorization of 73981 in exponential form is:

73981 = 167¹ × 443¹

Step-3: Factors of 73972

List of positive integer factors of 73972 that divides 73972 without a remainder.

1, 2, 4, 18493, 36986

Step-4: Factors of 73981

List of positive integer factors of 73981 that divides 73972 without a remainder.

1, 167, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73972 and 73981. The biggest common factor number is the GCF number.
So the greatest common factor 73972 and 73981 is 1.

Also check out the Least Common Multiple of 73972 and 73981