What is the Greatest Common Factor of 67624 and 67632?

Greatest common factor (GCF) of 67624 and 67632 is 8.

GCF(67624,67632) = 8

We will now calculate the prime factors of 67624 and 67632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67624 and 67632.

How to find the GCF of 67624 and 67632?

We will first find the prime factorization of 67624 and 67632. After we will calculate the factors of 67624 and 67632 and find the biggest common factor number .

Step-1: Prime Factorization of 67624

Prime factors of 67624 are 2, 79, 107. Prime factorization of 67624 in exponential form is:

67624 = 2³ × 79¹ × 107¹

Step-2: 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-3: Factors of 67624

List of positive integer factors of 67624 that divides 67624 without a remainder.

1, 2, 4, 8, 79, 107, 158, 214, 316, 428, 632, 856, 8453, 16906, 33812

Step-4: Factors of 67632

List of positive integer factors of 67632 that divides 67624 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67624 and 67632. The biggest common factor number is the GCF number.
So the greatest common factor 67624 and 67632 is 8.

Also check out the Least Common Multiple of 67624 and 67632