What is the Greatest Common Factor of 69964 and 69969?

Greatest common factor (GCF) of 69964 and 69969 is 1.

GCF(69964,69969) = 1

We will now calculate the prime factors of 69964 and 69969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69964 and 69969.

How to find the GCF of 69964 and 69969?

We will first find the prime factorization of 69964 and 69969. After we will calculate the factors of 69964 and 69969 and find the biggest common factor number .

Step-1: Prime Factorization of 69964

Prime factors of 69964 are 2, 17491. Prime factorization of 69964 in exponential form is:

69964 = 2² × 17491¹

Step-2: Prime Factorization of 69969

Prime factors of 69969 are 3, 83, 281. Prime factorization of 69969 in exponential form is:

69969 = 3¹ × 83¹ × 281¹

Step-3: Factors of 69964

List of positive integer factors of 69964 that divides 69964 without a remainder.

1, 2, 4, 17491, 34982

Step-4: Factors of 69969

List of positive integer factors of 69969 that divides 69964 without a remainder.

1, 3, 83, 249, 281, 843, 23323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69964 and 69969. The biggest common factor number is the GCF number.
So the greatest common factor 69964 and 69969 is 1.

Also check out the Least Common Multiple of 69964 and 69969