What is the Greatest Common Factor of 69944 and 69958?

Greatest common factor (GCF) of 69944 and 69958 is 14.

GCF(69944,69958) = 14

We will now calculate the prime factors of 69944 and 69958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69944 and 69958.

How to find the GCF of 69944 and 69958?

We will first find the prime factorization of 69944 and 69958. After we will calculate the factors of 69944 and 69958 and find the biggest common factor number .

Step-1: Prime Factorization of 69944

Prime factors of 69944 are 2, 7, 1249. Prime factorization of 69944 in exponential form is:

69944 = 2³ × 7¹ × 1249¹

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 69944

List of positive integer factors of 69944 that divides 69944 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1249, 2498, 4996, 8743, 9992, 17486, 34972

Step-4: Factors of 69958

List of positive integer factors of 69958 that divides 69944 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 69944 and 69958. The biggest common factor number is the GCF number.
So the greatest common factor 69944 and 69958 is 14.

Also check out the Least Common Multiple of 69944 and 69958