What is the Greatest Common Factor of 68952 and 68960?

Greatest common factor (GCF) of 68952 and 68960 is 8.

GCF(68952,68960) = 8

We will now calculate the prime factors of 68952 and 68960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68952 and 68960.

How to find the GCF of 68952 and 68960?

We will first find the prime factorization of 68952 and 68960. After we will calculate the factors of 68952 and 68960 and find the biggest common factor number .

Step-1: Prime Factorization of 68952

Prime factors of 68952 are 2, 3, 13, 17. Prime factorization of 68952 in exponential form is:

68952 = 2³ × 3¹ × 13² × 17¹

Step-2: Prime Factorization of 68960

Prime factors of 68960 are 2, 5, 431. Prime factorization of 68960 in exponential form is:

68960 = 2⁵ × 5¹ × 431¹

Step-3: Factors of 68952

List of positive integer factors of 68952 that divides 68952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 169, 204, 221, 312, 338, 408, 442, 507, 663, 676, 884, 1014, 1326, 1352, 1768, 2028, 2652, 2873, 4056, 5304, 5746, 8619, 11492, 17238, 22984, 34476

Step-4: Factors of 68960

List of positive integer factors of 68960 that divides 68952 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 431, 862, 1724, 2155, 3448, 4310, 6896, 8620, 13792, 17240, 34480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68952 and 68960. The biggest common factor number is the GCF number.
So the greatest common factor 68952 and 68960 is 8.

Also check out the Least Common Multiple of 68952 and 68960