What is the Greatest Common Factor of 67606 and 67620?

Greatest common factor (GCF) of 67606 and 67620 is 14.

GCF(67606,67620) = 14

We will now calculate the prime factors of 67606 and 67620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67606 and 67620.

How to find the GCF of 67606 and 67620?

We will first find the prime factorization of 67606 and 67620. After we will calculate the factors of 67606 and 67620 and find the biggest common factor number .

Step-1: Prime Factorization of 67606

Prime factors of 67606 are 2, 7, 11, 439. Prime factorization of 67606 in exponential form is:

67606 = 2¹ × 7¹ × 11¹ × 439¹

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 67606

List of positive integer factors of 67606 that divides 67606 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 439, 878, 3073, 4829, 6146, 9658, 33803

Step-4: Factors of 67620

List of positive integer factors of 67620 that divides 67606 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 67606 and 67620. The biggest common factor number is the GCF number.
So the greatest common factor 67606 and 67620 is 14.

Also check out the Least Common Multiple of 67606 and 67620