What is the Greatest Common Factor of 68068 and 68076?

Greatest common factor (GCF) of 68068 and 68076 is 4.

GCF(68068,68076) = 4

We will now calculate the prime factors of 68068 and 68076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68068 and 68076.

How to find the GCF of 68068 and 68076?

We will first find the prime factorization of 68068 and 68076. After we will calculate the factors of 68068 and 68076 and find the biggest common factor number .

Step-1: Prime Factorization of 68068

Prime factors of 68068 are 2, 7, 11, 13, 17. Prime factorization of 68068 in exponential form is:

68068 = 2² × 7¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 68076

Prime factors of 68076 are 2, 3, 31, 61. Prime factorization of 68076 in exponential form is:

68076 = 2² × 3² × 31¹ × 61¹

Step-3: Factors of 68068

List of positive integer factors of 68068 that divides 68068 without a remainder.

1, 2, 4, 7, 11, 13, 14, 17, 22, 26, 28, 34, 44, 52, 68, 77, 91, 119, 143, 154, 182, 187, 221, 238, 286, 308, 364, 374, 442, 476, 572, 748, 884, 1001, 1309, 1547, 2002, 2431, 2618, 3094, 4004, 4862, 5236, 6188, 9724, 17017, 34034

Step-4: Factors of 68076

List of positive integer factors of 68076 that divides 68068 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 61, 62, 93, 122, 124, 183, 186, 244, 279, 366, 372, 549, 558, 732, 1098, 1116, 1891, 2196, 3782, 5673, 7564, 11346, 17019, 22692, 34038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68068 and 68076. The biggest common factor number is the GCF number.
So the greatest common factor 68068 and 68076 is 4.

Also check out the Least Common Multiple of 68068 and 68076