What is the Greatest Common Factor of 67632 and 67649?

Greatest common factor (GCF) of 67632 and 67649 is 1.

GCF(67632,67649) = 1

We will now calculate the prime factors of 67632 and 67649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67632 and 67649.

How to find the GCF of 67632 and 67649?

We will first find the prime factorization of 67632 and 67649. After we will calculate the factors of 67632 and 67649 and find the biggest common factor number .

Step-1: Prime Factorization of 67632

Prime factors of 67632 are 2, 3, 1409. Prime factorization of 67632 in exponential form is:

67632 = 2⁴ × 3¹ × 1409¹

Step-2: Prime Factorization of 67649

Prime factors of 67649 are 61, 1109. Prime factorization of 67649 in exponential form is:

67649 = 61¹ × 1109¹

Step-3: Factors of 67632

List of positive integer factors of 67632 that divides 67632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1409, 2818, 4227, 5636, 8454, 11272, 16908, 22544, 33816

Step-4: Factors of 67649

List of positive integer factors of 67649 that divides 67632 without a remainder.

1, 61, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67632 and 67649. The biggest common factor number is the GCF number.
So the greatest common factor 67632 and 67649 is 1.

Also check out the Least Common Multiple of 67632 and 67649