What is the Greatest Common Factor of 69960 and 69968?

Greatest common factor (GCF) of 69960 and 69968 is 8.

GCF(69960,69968) = 8

We will now calculate the prime factors of 69960 and 69968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69960 and 69968.

How to find the GCF of 69960 and 69968?

We will first find the prime factorization of 69960 and 69968. After we will calculate the factors of 69960 and 69968 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 69968

Prime factors of 69968 are 2, 4373. Prime factorization of 69968 in exponential form is:

69968 = 2⁴ × 4373¹

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 69968

List of positive integer factors of 69968 that divides 69960 without a remainder.

1, 2, 4, 8, 16, 4373, 8746, 17492, 34984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69960 and 69968. The biggest common factor number is the GCF number.
So the greatest common factor 69960 and 69968 is 8.

Also check out the Least Common Multiple of 69960 and 69968