What is the Greatest Common Factor of 67632 and 67652?

Greatest common factor (GCF) of 67632 and 67652 is 4.

GCF(67632,67652) = 4

We will now calculate the prime factors of 67632 and 67652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67632 and 67652.

How to find the GCF of 67632 and 67652?

We will first find the prime factorization of 67632 and 67652. After we will calculate the factors of 67632 and 67652 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 67652

Prime factors of 67652 are 2, 13, 1301. Prime factorization of 67652 in exponential form is:

67652 = 2² × 13¹ × 1301¹

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 67652

List of positive integer factors of 67652 that divides 67632 without a remainder.

1, 2, 4, 13, 26, 52, 1301, 2602, 5204, 16913, 33826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67632 and 67652. The biggest common factor number is the GCF number.
So the greatest common factor 67632 and 67652 is 4.

Also check out the Least Common Multiple of 67632 and 67652