What is the Greatest Common Factor of 69951 and 69958?

Greatest common factor (GCF) of 69951 and 69958 is 7.

GCF(69951,69958) = 7

We will now calculate the prime factors of 69951 and 69958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69951 and 69958.

How to find the GCF of 69951 and 69958?

We will first find the prime factorization of 69951 and 69958. After we will calculate the factors of 69951 and 69958 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 69958

Prime factors of 69958 are 2, 7, 19, 263. Prime factorization of 69958 in exponential form is:

69958 = 2¹ × 7¹ × 19¹ × 263¹

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 69958

List of positive integer factors of 69958 that divides 69951 without a remainder.

1, 2, 7, 14, 19, 38, 133, 263, 266, 526, 1841, 3682, 4997, 9994, 34979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69951 and 69958. The biggest common factor number is the GCF number.
So the greatest common factor 69951 and 69958 is 7.

Also check out the Least Common Multiple of 69951 and 69958