What is the Greatest Common Factor of 7441 and 7448?

Greatest common factor (GCF) of 7441 and 7448 is 7.

GCF(7441,7448) = 7

We will now calculate the prime factors of 7441 and 7448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7441 and 7448.

How to find the GCF of 7441 and 7448?

We will first find the prime factorization of 7441 and 7448. After we will calculate the factors of 7441 and 7448 and find the biggest common factor number .

Step-1: Prime Factorization of 7441

Prime factors of 7441 are 7, 1063. Prime factorization of 7441 in exponential form is:

7441 = 7¹ × 1063¹

Step-2: Prime Factorization of 7448

Prime factors of 7448 are 2, 7, 19. Prime factorization of 7448 in exponential form is:

7448 = 2³ × 7² × 19¹

Step-3: Factors of 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1, 7, 1063

Step-4: Factors of 7448

List of positive integer factors of 7448 that divides 7441 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7441 and 7448. The biggest common factor number is the GCF number.
So the greatest common factor 7441 and 7448 is 7.

Also check out the Least Common Multiple of 7441 and 7448