What is the Greatest Common Factor of 69938 and 69954?

Greatest common factor (GCF) of 69938 and 69954 is 2.

GCF(69938,69954) = 2

We will now calculate the prime factors of 69938 and 69954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69938 and 69954.

How to find the GCF of 69938 and 69954?

We will first find the prime factorization of 69938 and 69954. After we will calculate the factors of 69938 and 69954 and find the biggest common factor number .

Step-1: Prime Factorization of 69938

Prime factors of 69938 are 2, 11, 17. Prime factorization of 69938 in exponential form is:

69938 = 2¹ × 11² × 17²

Step-2: Prime Factorization of 69954

Prime factors of 69954 are 2, 3, 89, 131. Prime factorization of 69954 in exponential form is:

69954 = 2¹ × 3¹ × 89¹ × 131¹

Step-3: Factors of 69938

List of positive integer factors of 69938 that divides 69938 without a remainder.

1, 2, 11, 17, 22, 34, 121, 187, 242, 289, 374, 578, 2057, 3179, 4114, 6358, 34969

Step-4: Factors of 69954

List of positive integer factors of 69954 that divides 69938 without a remainder.

1, 2, 3, 6, 89, 131, 178, 262, 267, 393, 534, 786, 11659, 23318, 34977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69938 and 69954. The biggest common factor number is the GCF number.
So the greatest common factor 69938 and 69954 is 2.

Also check out the Least Common Multiple of 69938 and 69954