What is the Greatest Common Factor of 69960 and 69978?

Greatest common factor (GCF) of 69960 and 69978 is 6.

GCF(69960,69978) = 6

We will now calculate the prime factors of 69960 and 69978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69960 and 69978.

How to find the GCF of 69960 and 69978?

We will first find the prime factorization of 69960 and 69978. After we will calculate the factors of 69960 and 69978 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69978

Prime factors of 69978 are 2, 3, 107, 109. Prime factorization of 69978 in exponential form is:

69978 = 2¹ × 3¹ × 107¹ × 109¹

Step-3: Factors of 69960

List of positive integer factors of 69960 that divides 69960 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

Step-4: Factors of 69978

List of positive integer factors of 69978 that divides 69960 without a remainder.

1, 2, 3, 6, 107, 109, 214, 218, 321, 327, 642, 654, 11663, 23326, 34989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69960 and 69978. The biggest common factor number is the GCF number.
So the greatest common factor 69960 and 69978 is 6.

Also check out the Least Common Multiple of 69960 and 69978