What is the Greatest Common Factor of 68952 and 68965?

Greatest common factor (GCF) of 68952 and 68965 is 13.

GCF(68952,68965) = 13

We will now calculate the prime factors of 68952 and 68965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68952 and 68965.

How to find the GCF of 68952 and 68965?

We will first find the prime factorization of 68952 and 68965. After we will calculate the factors of 68952 and 68965 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 68965

Prime factors of 68965 are 5, 13, 1061. Prime factorization of 68965 in exponential form is:

68965 = 5¹ × 13¹ × 1061¹

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 68965

List of positive integer factors of 68965 that divides 68952 without a remainder.

1, 5, 13, 65, 1061, 5305, 13793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68952 and 68965. The biggest common factor number is the GCF number.
So the greatest common factor 68952 and 68965 is 13.

Also check out the Least Common Multiple of 68952 and 68965