What is the Greatest Common Factor of 67640 and 67653?

Greatest common factor (GCF) of 67640 and 67653 is 1.

GCF(67640,67653) = 1

We will now calculate the prime factors of 67640 and 67653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67640 and 67653.

How to find the GCF of 67640 and 67653?

We will first find the prime factorization of 67640 and 67653. After we will calculate the factors of 67640 and 67653 and find the biggest common factor number .

Step-1: Prime Factorization of 67640

Prime factors of 67640 are 2, 5, 19, 89. Prime factorization of 67640 in exponential form is:

67640 = 2³ × 5¹ × 19¹ × 89¹

Step-2: Prime Factorization of 67653

Prime factors of 67653 are 3, 7517. Prime factorization of 67653 in exponential form is:

67653 = 3² × 7517¹

Step-3: Factors of 67640

List of positive integer factors of 67640 that divides 67640 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 89, 95, 152, 178, 190, 356, 380, 445, 712, 760, 890, 1691, 1780, 3382, 3560, 6764, 8455, 13528, 16910, 33820

Step-4: Factors of 67653

List of positive integer factors of 67653 that divides 67640 without a remainder.

1, 3, 9, 7517, 22551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67640 and 67653. The biggest common factor number is the GCF number.
So the greatest common factor 67640 and 67653 is 1.

Also check out the Least Common Multiple of 67640 and 67653