What is the Greatest Common Factor of 67614 and 67620?

Greatest common factor (GCF) of 67614 and 67620 is 6.

GCF(67614,67620) = 6

We will now calculate the prime factors of 67614 and 67620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67614 and 67620.

How to find the GCF of 67614 and 67620?

We will first find the prime factorization of 67614 and 67620. After we will calculate the factors of 67614 and 67620 and find the biggest common factor number .

Step-1: Prime Factorization of 67614

Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:

67614 = 2¹ × 3¹ × 59¹ × 191¹

Step-2: Prime Factorization of 67620

Prime factors of 67620 are 2, 3, 5, 7, 23. Prime factorization of 67620 in exponential form is:

67620 = 2² × 3¹ × 5¹ × 7² × 23¹

Step-3: Factors of 67614

List of positive integer factors of 67614 that divides 67614 without a remainder.

1, 2, 3, 6, 59, 118, 177, 191, 354, 382, 573, 1146, 11269, 22538, 33807

Step-4: Factors of 67620

List of positive integer factors of 67620 that divides 67614 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 49, 60, 69, 70, 84, 92, 98, 105, 115, 138, 140, 147, 161, 196, 210, 230, 245, 276, 294, 322, 345, 420, 460, 483, 490, 588, 644, 690, 735, 805, 966, 980, 1127, 1380, 1470, 1610, 1932, 2254, 2415, 2940, 3220, 3381, 4508, 4830, 5635, 6762, 9660, 11270, 13524, 16905, 22540, 33810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67614 and 67620. The biggest common factor number is the GCF number.
So the greatest common factor 67614 and 67620 is 6.

Also check out the Least Common Multiple of 67614 and 67620