What is the Greatest Common Factor of 69943 and 69948?

Greatest common factor (GCF) of 69943 and 69948 is 1.

GCF(69943,69948) = 1

We will now calculate the prime factors of 69943 and 69948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69943 and 69948.

How to find the GCF of 69943 and 69948?

We will first find the prime factorization of 69943 and 69948. After we will calculate the factors of 69943 and 69948 and find the biggest common factor number .

Step-1: Prime Factorization of 69943

Prime factors of 69943 are 23, 3041. Prime factorization of 69943 in exponential form is:

69943 = 23¹ × 3041¹

Step-2: Prime Factorization of 69948

Prime factors of 69948 are 2, 3, 29, 67. Prime factorization of 69948 in exponential form is:

69948 = 2² × 3² × 29¹ × 67¹

Step-3: Factors of 69943

List of positive integer factors of 69943 that divides 69943 without a remainder.

1, 23, 3041

Step-4: Factors of 69948

List of positive integer factors of 69948 that divides 69943 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 67, 87, 116, 134, 174, 201, 261, 268, 348, 402, 522, 603, 804, 1044, 1206, 1943, 2412, 3886, 5829, 7772, 11658, 17487, 23316, 34974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69943 and 69948. The biggest common factor number is the GCF number.
So the greatest common factor 69943 and 69948 is 1.

Also check out the Least Common Multiple of 69943 and 69948