What is the Greatest Common Factor of 67620 and 67634?

Greatest common factor (GCF) of 67620 and 67634 is 14.

GCF(67620,67634) = 14

We will now calculate the prime factors of 67620 and 67634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67620 and 67634.

How to find the GCF of 67620 and 67634?

We will first find the prime factorization of 67620 and 67634. After we will calculate the factors of 67620 and 67634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67634

Prime factors of 67634 are 2, 7, 4831. Prime factorization of 67634 in exponential form is:

67634 = 2¹ × 7¹ × 4831¹

Step-3: Factors of 67620

List of positive integer factors of 67620 that divides 67620 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

Step-4: Factors of 67634

List of positive integer factors of 67634 that divides 67620 without a remainder.

1, 2, 7, 14, 4831, 9662, 33817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67620 and 67634. The biggest common factor number is the GCF number.
So the greatest common factor 67620 and 67634 is 14.

Also check out the Least Common Multiple of 67620 and 67634