What is the Greatest Common Factor of 69951 and 69969?

Greatest common factor (GCF) of 69951 and 69969 is 3.

GCF(69951,69969) = 3

We will now calculate the prime factors of 69951 and 69969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69951 and 69969.

How to find the GCF of 69951 and 69969?

We will first find the prime factorization of 69951 and 69969. After we will calculate the factors of 69951 and 69969 and find the biggest common factor number .

Step-1: Prime Factorization of 69951

Prime factors of 69951 are 3, 7, 3331. Prime factorization of 69951 in exponential form is:

69951 = 3¹ × 7¹ × 3331¹

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 69951

List of positive integer factors of 69951 that divides 69951 without a remainder.

1, 3, 7, 21, 3331, 9993, 23317

Step-4: Factors of 69969

List of positive integer factors of 69969 that divides 69951 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69951 and 69969. The biggest common factor number is the GCF number.
So the greatest common factor 69951 and 69969 is 3.

Also check out the Least Common Multiple of 69951 and 69969