What is the Greatest Common Factor of 69960 and 69965?

Greatest common factor (GCF) of 69960 and 69965 is 5.

GCF(69960,69965) = 5

We will now calculate the prime factors of 69960 and 69965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69960 and 69965.

How to find the GCF of 69960 and 69965?

We will first find the prime factorization of 69960 and 69965. After we will calculate the factors of 69960 and 69965 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 69965

Prime factors of 69965 are 5, 7, 1999. Prime factorization of 69965 in exponential form is:

69965 = 5¹ × 7¹ × 1999¹

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 69965

List of positive integer factors of 69965 that divides 69960 without a remainder.

1, 5, 7, 35, 1999, 9995, 13993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69960 and 69965. The biggest common factor number is the GCF number.
So the greatest common factor 69960 and 69965 is 5.

Also check out the Least Common Multiple of 69960 and 69965