What is the Greatest Common Factor of 69968 and 69973?

Greatest common factor (GCF) of 69968 and 69973 is 1.

GCF(69968,69973) = 1

We will now calculate the prime factors of 69968 and 69973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69968 and 69973.

How to find the GCF of 69968 and 69973?

We will first find the prime factorization of 69968 and 69973. After we will calculate the factors of 69968 and 69973 and find the biggest common factor number .

Step-1: Prime Factorization of 69968

Prime factors of 69968 are 2, 4373. Prime factorization of 69968 in exponential form is:

69968 = 2⁴ × 4373¹

Step-2: Prime Factorization of 69973

Prime factors of 69973 are 167, 419. Prime factorization of 69973 in exponential form is:

69973 = 167¹ × 419¹

Step-3: Factors of 69968

List of positive integer factors of 69968 that divides 69968 without a remainder.

1, 2, 4, 8, 16, 4373, 8746, 17492, 34984

Step-4: Factors of 69973

List of positive integer factors of 69973 that divides 69968 without a remainder.

1, 167, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69968 and 69973. The biggest common factor number is the GCF number.
So the greatest common factor 69968 and 69973 is 1.

Also check out the Least Common Multiple of 69968 and 69973