What is the Greatest Common Factor of 69944 and 69948?

Greatest common factor (GCF) of 69944 and 69948 is 4.

GCF(69944,69948) = 4

We will now calculate the prime factors of 69944 and 69948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69944 and 69948.

How to find the GCF of 69944 and 69948?

We will first find the prime factorization of 69944 and 69948. After we will calculate the factors of 69944 and 69948 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 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 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 69948

List of positive integer factors of 69948 that divides 69944 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 69944 and 69948. The biggest common factor number is the GCF number.
So the greatest common factor 69944 and 69948 is 4.

Also check out the Least Common Multiple of 69944 and 69948