What is the Greatest Common Factor of 69954 and 69960?

Greatest common factor (GCF) of 69954 and 69960 is 6.

GCF(69954,69960) = 6

We will now calculate the prime factors of 69954 and 69960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69954 and 69960.

How to find the GCF of 69954 and 69960?

We will first find the prime factorization of 69954 and 69960. After we will calculate the factors of 69954 and 69960 and find the biggest common factor number .

Step-1: 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-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 69954

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

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

Step-4: Factors of 69960

List of positive integer factors of 69960 that divides 69954 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 69954 and 69960. The biggest common factor number is the GCF number.
So the greatest common factor 69954 and 69960 is 6.

Also check out the Least Common Multiple of 69954 and 69960