What is the Greatest Common Factor of 7625 and 7638?

Greatest common factor (GCF) of 7625 and 7638 is 1.

GCF(7625,7638) = 1

We will now calculate the prime factors of 7625 and 7638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7625 and 7638.

How to find the GCF of 7625 and 7638?

We will first find the prime factorization of 7625 and 7638. After we will calculate the factors of 7625 and 7638 and find the biggest common factor number .

Step-1: Prime Factorization of 7625

Prime factors of 7625 are 5, 61. Prime factorization of 7625 in exponential form is:

7625 = 5³ × 61¹

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 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1, 5, 25, 61, 125, 305, 1525

Step-4: Factors of 7638

List of positive integer factors of 7638 that divides 7625 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 7625 and 7638. The biggest common factor number is the GCF number.
So the greatest common factor 7625 and 7638 is 1.

Also check out the Least Common Multiple of 7625 and 7638