What is the Greatest Common Factor of 68952 and 68969?

Greatest common factor (GCF) of 68952 and 68969 is 17.

GCF(68952,68969) = 17

We will now calculate the prime factors of 68952 and 68969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68952 and 68969.

How to find the GCF of 68952 and 68969?

We will first find the prime factorization of 68952 and 68969. After we will calculate the factors of 68952 and 68969 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 68969

Prime factors of 68969 are 17, 4057. Prime factorization of 68969 in exponential form is:

68969 = 17¹ × 4057¹

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 68969

List of positive integer factors of 68969 that divides 68952 without a remainder.

1, 17, 4057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68952 and 68969. The biggest common factor number is the GCF number.
So the greatest common factor 68952 and 68969 is 17.

Also check out the Least Common Multiple of 68952 and 68969