What is the Greatest Common Factor of 67632 and 67651?

Greatest common factor (GCF) of 67632 and 67651 is 1.

GCF(67632,67651) = 1

We will now calculate the prime factors of 67632 and 67651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67632 and 67651.

How to find the GCF of 67632 and 67651?

We will first find the prime factorization of 67632 and 67651. After we will calculate the factors of 67632 and 67651 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 67651

Prime factors of 67651 are 67651. Prime factorization of 67651 in exponential form is:

67651 = 67651¹

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 67651

List of positive integer factors of 67651 that divides 67632 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67632 and 67651. The biggest common factor number is the GCF number.
So the greatest common factor 67632 and 67651 is 1.

Also check out the Least Common Multiple of 67632 and 67651