What is the Greatest Common Factor of 69948 and 69960?

Greatest common factor (GCF) of 69948 and 69960 is 12.

GCF(69948,69960) = 12

We will now calculate the prime factors of 69948 and 69960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69948 and 69960.

How to find the GCF of 69948 and 69960?

We will first find the prime factorization of 69948 and 69960. After we will calculate the factors of 69948 and 69960 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 69960

Prime factors of 69960 are 2, 3, 5, 11, 53. Prime factorization of 69960 in exponential form is:

69960 = 2³ × 3¹ × 5¹ × 11¹ × 53¹

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 69960

List of positive integer factors of 69960 that divides 69948 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 53, 55, 60, 66, 88, 106, 110, 120, 132, 159, 165, 212, 220, 264, 265, 318, 330, 424, 440, 530, 583, 636, 660, 795, 1060, 1166, 1272, 1320, 1590, 1749, 2120, 2332, 2915, 3180, 3498, 4664, 5830, 6360, 6996, 8745, 11660, 13992, 17490, 23320, 34980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69948 and 69960. The biggest common factor number is the GCF number.
So the greatest common factor 69948 and 69960 is 12.

Also check out the Least Common Multiple of 69948 and 69960