What is the Greatest Common Factor of 7624 and 7638?

Greatest common factor (GCF) of 7624 and 7638 is 2.

GCF(7624,7638) = 2

We will now calculate the prime factors of 7624 and 7638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7624 and 7638.

How to find the GCF of 7624 and 7638?

We will first find the prime factorization of 7624 and 7638. After we will calculate the factors of 7624 and 7638 and find the biggest common factor number .

Step-1: Prime Factorization of 7624

Prime factors of 7624 are 2, 953. Prime factorization of 7624 in exponential form is:

7624 = 2³ × 953¹

Step-2: Prime Factorization of 7638

Prime factors of 7638 are 2, 3, 19, 67. Prime factorization of 7638 in exponential form is:

7638 = 2¹ × 3¹ × 19¹ × 67¹

Step-3: Factors of 7624

List of positive integer factors of 7624 that divides 7624 without a remainder.

1, 2, 4, 8, 953, 1906, 3812

Step-4: Factors of 7638

List of positive integer factors of 7638 that divides 7624 without a remainder.

1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7624 and 7638. The biggest common factor number is the GCF number.
So the greatest common factor 7624 and 7638 is 2.

Also check out the Least Common Multiple of 7624 and 7638