What is the Greatest Common Factor of 73985 and 73996?

Greatest common factor (GCF) of 73985 and 73996 is 1.

GCF(73985,73996) = 1

We will now calculate the prime factors of 73985 and 73996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73985 and 73996.

How to find the GCF of 73985 and 73996?

We will first find the prime factorization of 73985 and 73996. After we will calculate the factors of 73985 and 73996 and find the biggest common factor number .

Step-1: Prime Factorization of 73985

Prime factors of 73985 are 5, 14797. Prime factorization of 73985 in exponential form is:

73985 = 5¹ × 14797¹

Step-2: Prime Factorization of 73996

Prime factors of 73996 are 2, 13, 1423. Prime factorization of 73996 in exponential form is:

73996 = 2² × 13¹ × 1423¹

Step-3: Factors of 73985

List of positive integer factors of 73985 that divides 73985 without a remainder.

1, 5, 14797

Step-4: Factors of 73996

List of positive integer factors of 73996 that divides 73985 without a remainder.

1, 2, 4, 13, 26, 52, 1423, 2846, 5692, 18499, 36998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73985 and 73996. The biggest common factor number is the GCF number.
So the greatest common factor 73985 and 73996 is 1.

Also check out the Least Common Multiple of 73985 and 73996