What is the Greatest Common Factor of 69945 and 69951?

Greatest common factor (GCF) of 69945 and 69951 is 3.

GCF(69945,69951) = 3

We will now calculate the prime factors of 69945 and 69951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69945 and 69951.

How to find the GCF of 69945 and 69951?

We will first find the prime factorization of 69945 and 69951. After we will calculate the factors of 69945 and 69951 and find the biggest common factor number .

Step-1: Prime Factorization of 69945

Prime factors of 69945 are 3, 5, 4663. Prime factorization of 69945 in exponential form is:

69945 = 3¹ × 5¹ × 4663¹

Step-2: 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-3: Factors of 69945

List of positive integer factors of 69945 that divides 69945 without a remainder.

1, 3, 5, 15, 4663, 13989, 23315

Step-4: Factors of 69951

List of positive integer factors of 69951 that divides 69945 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69945 and 69951. The biggest common factor number is the GCF number.
So the greatest common factor 69945 and 69951 is 3.

Also check out the Least Common Multiple of 69945 and 69951