What is the Greatest Common Factor of 69958 and 69977?

Greatest common factor (GCF) of 69958 and 69977 is 19.

GCF(69958,69977) = 19

We will now calculate the prime factors of 69958 and 69977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69958 and 69977.

How to find the GCF of 69958 and 69977?

We will first find the prime factorization of 69958 and 69977. After we will calculate the factors of 69958 and 69977 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69977

Prime factors of 69977 are 19, 29, 127. Prime factorization of 69977 in exponential form is:

69977 = 19¹ × 29¹ × 127¹

Step-3: Factors of 69958

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

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

Step-4: Factors of 69977

List of positive integer factors of 69977 that divides 69958 without a remainder.

1, 19, 29, 127, 551, 2413, 3683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69958 and 69977. The biggest common factor number is the GCF number.
So the greatest common factor 69958 and 69977 is 19.

Also check out the Least Common Multiple of 69958 and 69977