What is the Greatest Common Factor of 69948 and 69954?

Greatest common factor (GCF) of 69948 and 69954 is 6.

GCF(69948,69954) = 6

We will now calculate the prime factors of 69948 and 69954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69948 and 69954.

How to find the GCF of 69948 and 69954?

We will first find the prime factorization of 69948 and 69954. After we will calculate the factors of 69948 and 69954 and find the biggest common factor number .

Step-1: 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-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 69948

List of positive integer factors of 69948 that divides 69948 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

Step-4: Factors of 69954

List of positive integer factors of 69954 that divides 69948 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 69948 and 69954. The biggest common factor number is the GCF number.
So the greatest common factor 69948 and 69954 is 6.

Also check out the Least Common Multiple of 69948 and 69954